LMFDB - Embedded newform 261.2.l.a.41.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [261,2,Mod(41,261)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(261, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 3]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("261.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 261 = 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	261.l (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.08409549276$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			41.8
Character	$\chi$	$=$	261.41
Dual form			261.2.l.a.191.8

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.45552 - 0.390005i) q^{2} +(-1.72711 - 0.130672i) q^{3} +(0.234384 + 0.135322i) q^{4} +(1.15386 - 1.99855i) q^{5} +(2.46289 + 0.863780i) q^{6} +(-1.71329 - 2.96750i) q^{7} +(1.84266 + 1.84266i) q^{8} +(2.96585 + 0.451370i) q^{9} +O(q^{10})$	\(q+(-1.45552 - 0.390005i) q^{2} +(-1.72711 - 0.130672i) q^{3} +(0.234384 + 0.135322i) q^{4} +(1.15386 - 1.99855i) q^{5} +(2.46289 + 0.863780i) q^{6} +(-1.71329 - 2.96750i) q^{7} +(1.84266 + 1.84266i) q^{8} +(2.96585 + 0.451370i) q^{9} +(-2.45892 + 2.45892i) q^{10} +(0.946251 + 0.253547i) q^{11} +(-0.387125 - 0.264343i) q^{12} +(-3.15830 - 1.82344i) q^{13} +(1.33638 + 4.98745i) q^{14} +(-2.25401 + 3.30095i) q^{15} +(-2.23402 - 3.86943i) q^{16} +(-4.51260 + 4.51260i) q^{17} +(-4.14082 - 1.81368i) q^{18} +(-2.21952 - 2.21952i) q^{19} +(0.540893 - 0.312285i) q^{20} +(2.57127 + 5.34909i) q^{21} +(-1.27840 - 0.738086i) q^{22} +(-1.53305 - 0.885107i) q^{23} +(-2.94169 - 3.42326i) q^{24} +(-0.162800 - 0.281977i) q^{25} +(3.88581 + 3.88581i) q^{26} +(-5.06338 - 1.16712i) q^{27} -0.927379i q^{28} +(-0.658996 + 5.34469i) q^{29} +(4.56814 - 3.92552i) q^{30} +(-4.45364 + 1.19335i) q^{31} +(0.393642 + 1.46909i) q^{32} +(-1.60115 - 0.561553i) q^{33} +(8.32812 - 4.80824i) q^{34} -7.90760 q^{35} +(0.634067 + 0.507137i) q^{36} +(-3.10705 + 3.10705i) q^{37} +(2.36493 + 4.09618i) q^{38} +(5.21647 + 3.56200i) q^{39} +(5.80881 - 1.55647i) q^{40} +(8.43493 - 2.26013i) q^{41} +(-1.65637 - 8.78852i) q^{42} +(-0.655574 + 2.44664i) q^{43} +(0.187475 + 0.187475i) q^{44} +(4.32427 - 5.40658i) q^{45} +(1.88619 + 1.88619i) q^{46} +(1.99177 - 7.43340i) q^{47} +(3.35278 + 6.97488i) q^{48} +(-2.37071 + 4.10619i) q^{49} +(0.126985 + 0.473916i) q^{50} +(8.38344 - 7.20410i) q^{51} +(-0.493502 - 0.854771i) q^{52} +5.72088i q^{53} +(6.91467 + 3.67352i) q^{54} +(1.59857 - 1.59857i) q^{55} +(2.31108 - 8.62508i) q^{56} +(3.54334 + 4.12340i) q^{57} +(3.04364 - 7.52229i) q^{58} +(-7.90468 - 4.56377i) q^{59} +(-0.974992 + 0.468672i) q^{60} +(1.97765 - 7.38070i) q^{61} +6.94778 q^{62} +(-3.74191 - 9.57449i) q^{63} +6.64426i q^{64} +(-7.28848 + 4.20801i) q^{65} +(2.11150 + 1.44181i) q^{66} +(-10.0431 - 5.79839i) q^{67} +(-1.66833 + 0.447028i) q^{68} +(2.53209 + 1.72901i) q^{69} +(11.5097 + 3.08401i) q^{70} -3.89929 q^{71} +(4.63332 + 6.29676i) q^{72} +(9.73964 - 9.73964i) q^{73} +(5.73414 - 3.31061i) q^{74} +(0.244327 + 0.508280i) q^{75} +(-0.219871 - 0.820568i) q^{76} +(-0.868799 - 3.24240i) q^{77} +(-6.20347 - 7.21901i) q^{78} +(-1.41681 + 5.28760i) q^{79} -10.3110 q^{80} +(8.59253 + 2.67739i) q^{81} -13.1587 q^{82} +(-1.28536 + 0.742103i) q^{83} +(-0.121182 + 1.60169i) q^{84} +(3.81173 + 14.2256i) q^{85} +(1.90840 - 3.30545i) q^{86} +(1.83656 - 9.14478i) q^{87} +(1.27641 + 2.21081i) q^{88} +(-4.22391 + 4.22391i) q^{89} +(-8.40266 + 6.18289i) q^{90} +12.4963i q^{91} +(-0.239548 - 0.414909i) q^{92} +(7.84789 - 1.47909i) q^{93} +(-5.79813 + 10.0427i) q^{94} +(-6.99684 + 1.87480i) q^{95} +(-0.487896 - 2.58873i) q^{96} +(-14.2384 - 3.81516i) q^{97} +(5.05205 - 5.05205i) q^{98} +(2.69199 + 1.17909i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7}+O(q^{10}) $ 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7	$ 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7} + 6 q^{11} - 18 q^{12} - 18 q^{14} - 8 q^{15} + 40 q^{16} + 22 q^{18} - 8 q^{19} - 12 q^{20} + 24 q^{21} - 12 q^{23} - 96 q^{24} - 44 q^{25} + 20 q^{27} - 42 q^{29} + 28 q^{30} - 2 q^{31} - 66 q^{32} + 12 q^{36} - 8 q^{37} - 12 q^{39} - 12 q^{40} - 18 q^{41} - 2 q^{43} - 52 q^{45} + 8 q^{46} - 36 q^{49} + 24 q^{50} - 36 q^{52} + 8 q^{54} + 36 q^{55} + 84 q^{56} + 28 q^{58} + 48 q^{59} - 36 q^{60} - 14 q^{61} + 24 q^{65} + 18 q^{66} - 102 q^{68} + 36 q^{69} - 8 q^{73} + 144 q^{74} + 18 q^{75} + 14 q^{76} - 72 q^{77} + 12 q^{78} - 2 q^{79} - 56 q^{81} + 80 q^{82} - 120 q^{83} - 14 q^{84} - 48 q^{85} - 76 q^{87} - 36 q^{88} + 160 q^{90} - 40 q^{94} + 204 q^{95} + 22 q^{97} - 54 q^{99}+O(q^{100}) $ 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7 + 6 * q^11 - 18 * q^12 - 18 * q^14 - 8 * q^15 + 40 * q^16 + 22 * q^18 - 8 * q^19 - 12 * q^20 + 24 * q^21 - 12 * q^23 - 96 * q^24 - 44 * q^25 + 20 * q^27 - 42 * q^29 + 28 * q^30 - 2 * q^31 - 66 * q^32 + 12 * q^36 - 8 * q^37 - 12 * q^39 - 12 * q^40 - 18 * q^41 - 2 * q^43 - 52 * q^45 + 8 * q^46 - 36 * q^49 + 24 * q^50 - 36 * q^52 + 8 * q^54 + 36 * q^55 + 84 * q^56 + 28 * q^58 + 48 * q^59 - 36 * q^60 - 14 * q^61 + 24 * q^65 + 18 * q^66 - 102 * q^68 + 36 * q^69 - 8 * q^73 + 144 * q^74 + 18 * q^75 + 14 * q^76 - 72 * q^77 + 12 * q^78 - 2 * q^79 - 56 * q^81 + 80 * q^82 - 120 * q^83 - 14 * q^84 - 48 * q^85 - 76 * q^87 - 36 * q^88 + 160 * q^90 - 40 * q^94 + 204 * q^95 + 22 * q^97 - 54 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/261\mathbb{Z}\right)^\times$.

$n$	$118$	$146$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.45552	−	0.390005i	−1.02921	−	0.275775i	−0.295574	−	0.955320i	$-0.595511\pi$
$2$	−1.45552	−	0.390005i	−1.02921	−	0.275775i	−0.733634	+	0.679544i	$0.762177\pi$
$3$	−1.72711	−	0.130672i	−0.997150	−	0.0754434i
$3$	−1.72711	−	0.130672i	−0.997150	−	0.0754434i
$4$	0.234384	+	0.135322i	0.117192	+	0.0676608i
$5$	1.15386	−	1.99855i	0.516023	−	0.893778i	−0.483804	−	0.875177i	$-0.660745\pi$
$5$	1.15386	−	1.99855i	0.516023	−	0.893778i	0.999827	−	0.0186019i	$-0.00592151\pi$
$6$	2.46289	+	0.863780i	1.00547	+	0.352637i
$7$	−1.71329	−	2.96750i	−0.647562	−	1.12161i	−0.983703	−	0.179798i	$-0.942455\pi$
$7$	−1.71329	−	2.96750i	−0.647562	−	1.12161i	0.336142	−	0.941811i	$-0.390878\pi$
$8$	1.84266	+	1.84266i	0.651477	+	0.651477i
$9$	2.96585	+	0.451370i	0.988617	+	0.150457i
$10$	−2.45892	+	2.45892i	−0.777577	+	0.777577i
$11$	0.946251	+	0.253547i	0.285305	+	0.0764474i	0.398634	−	0.917110i	$-0.369484\pi$
$11$	0.946251	+	0.253547i	0.285305	+	0.0764474i	−0.113328	+	0.993558i	$0.536151\pi$
$12$	−0.387125	−	0.264343i	−0.111753	−	0.0763093i
$13$	−3.15830	−	1.82344i	−0.875954	−	0.505732i	−0.00663158	−	0.999978i	$-0.502111\pi$
$13$	−3.15830	−	1.82344i	−0.875954	−	0.505732i	−0.869322	+	0.494246i	$0.835444\pi$
$14$	1.33638	+	4.98745i	0.357163	+	1.33295i
$15$	−2.25401	+	3.30095i	−0.581982	+	0.852301i
$16$	−2.23402	−	3.86943i	−0.558505	−	0.967359i
$17$	−4.51260	+	4.51260i	−1.09447	+	1.09447i	−0.0994203	+	0.995046i	$0.531699\pi$
$17$	−4.51260	+	4.51260i	−1.09447	+	1.09447i	−0.995046	+	0.0994203i	$0.968301\pi$
$18$	−4.14082	−	1.81368i	−0.976000	−	0.427488i
$19$	−2.21952	−	2.21952i	−0.509193	−	0.509193i	0.405086	−	0.914279i	$-0.367242\pi$
$19$	−2.21952	−	2.21952i	−0.509193	−	0.509193i	−0.914279	+	0.405086i	$0.867242\pi$
$20$	0.540893	−	0.312285i	0.120947	−	0.0698290i
$21$	2.57127	+	5.34909i	0.561098	+	1.16727i
$22$	−1.27840	−	0.738086i	−0.272556	−	0.157361i
$23$	−1.53305	−	0.885107i	−0.319663	−	0.184557i	0.331579	−	0.943427i	$-0.392419\pi$
$23$	−1.53305	−	0.885107i	−0.319663	−	0.184557i	−0.651242	+	0.758870i	$0.725752\pi$
$24$	−2.94169	−	3.42326i	−0.600471	−	0.698770i
$25$	−0.162800	−	0.281977i	−0.0325599	−	0.0563954i
$26$	3.88581	+	3.88581i	0.762070	+	0.762070i
$27$	−5.06338	−	1.16712i	−0.974448	−	0.224613i
$28$		−	0.927379i		−	0.175258i
$29$	−0.658996	+	5.34469i	−0.122372	+	0.992484i
$29$	−0.658996	+	5.34469i	−0.122372	+	0.992484i
$30$	4.56814	−	3.92552i	0.834025	−	0.716698i
$31$	−4.45364	+	1.19335i	−0.799898	+	0.214332i	−0.635539	−	0.772069i	$-0.719222\pi$
$31$	−4.45364	+	1.19335i	−0.799898	+	0.214332i	−0.164359	+	0.986401i	$0.552555\pi$
$32$	0.393642	+	1.46909i	0.0695867	+	0.259701i
$33$	−1.60115	−	0.561553i	−0.278725	−	0.0977539i
$34$	8.32812	−	4.80824i	1.42826	−	0.824606i
$35$	−7.90760			−1.33663
$36$	0.634067	+	0.507137i	0.105678	+	0.0845229i
$37$	−3.10705	+	3.10705i	−0.510796	+	0.510796i	−0.914770	−	0.403974i	$-0.867629\pi$
$37$	−3.10705	+	3.10705i	−0.510796	+	0.510796i	0.403974	+	0.914770i	$0.367629\pi$
$38$	2.36493	+	4.09618i	0.383643	+	0.664488i
$39$	5.21647	+	3.56200i	0.835303	+	0.570376i
$40$	5.80881	−	1.55647i	0.918453	−	0.246099i
$41$	8.43493	−	2.26013i	1.31731	−	0.352973i	0.469343	−	0.883016i	$-0.344491\pi$
$41$	8.43493	−	2.26013i	1.31731	−	0.352973i	0.847971	+	0.530042i	$0.177824\pi$
$42$	−1.65637	−	8.78852i	−0.255583	−	1.35610i
$43$	−0.655574	+	2.44664i	−0.0999741	+	0.373109i	−0.997727	−	0.0673918i	$-0.978532\pi$
$43$	−0.655574	+	2.44664i	−0.0999741	+	0.373109i	0.897752	+	0.440500i	$0.145199\pi$
$44$	0.187475	+	0.187475i	0.0282630	+	0.0282630i
$45$	4.32427	−	5.40658i	0.644624	−	0.805965i
$46$	1.88619	+	1.88619i	0.278103	+	0.278103i
$47$	1.99177	−	7.43340i	0.290530	−	1.08427i	−0.654173	−	0.756345i	$-0.726983\pi$
$47$	1.99177	−	7.43340i	0.290530	−	1.08427i	0.944703	−	0.327927i	$-0.106350\pi$
$48$	3.35278	+	6.97488i	0.483932	+	1.00674i
$49$	−2.37071	+	4.10619i	−0.338672	+	0.586598i
$50$	0.126985	+	0.473916i	0.0179584	+	0.0670218i
$51$	8.38344	−	7.20410i	1.17392	−	1.00878i
$52$	−0.493502	−	0.854771i	−0.0684364	−	0.118535i
$53$			5.72088i			0.785823i	0.919576	+	0.392911i	$0.128532\pi$
$53$			5.72088i			0.785823i	−0.919576	+	0.392911i	$0.871468\pi$
$54$	6.91467	+	3.67352i	0.940967	+	0.499902i
$55$	1.59857	−	1.59857i	0.215551	−	0.215551i
$56$	2.31108	−	8.62508i	0.308831	−	1.15257i
$57$	3.54334	+	4.12340i	0.469327	+	0.546157i
$58$	3.04364	−	7.52229i	0.399650	−	0.987726i
$59$	−7.90468	−	4.56377i	−1.02910	−	0.594152i	−0.112375	−	0.993666i	$-0.535846\pi$
$59$	−7.90468	−	4.56377i	−1.02910	−	0.594152i	−0.916727	+	0.399513i	$0.869179\pi$
$60$	−0.974992	+	0.468672i	−0.125871	+	0.0605053i
$61$	1.97765	−	7.38070i	0.253213	−	0.945002i	−0.715864	−	0.698240i	$-0.753967\pi$
$61$	1.97765	−	7.38070i	0.253213	−	0.945002i	0.969076	−	0.246762i	$-0.0793666\pi$
$62$	6.94778			0.882369
$63$	−3.74191	−	9.57449i	−0.471436	−	1.20627i
$64$			6.64426i			0.830533i
$65$	−7.28848	+	4.20801i	−0.904025	+	0.521939i
$66$	2.11150	+	1.44181i	0.259908	+	0.177475i
$67$	−10.0431	−	5.79839i	−1.22696	−	0.708386i	−0.260567	−	0.965456i	$-0.583910\pi$
$67$	−10.0431	−	5.79839i	−1.22696	−	0.708386i	−0.966393	+	0.257070i	$0.917243\pi$
$68$	−1.66833	+	0.447028i	−0.202315	+	0.0542101i
$69$	2.53209	+	1.72901i	0.304828	+	0.208148i
$70$	11.5097	+	3.08401i	1.37567	+	0.368609i
$71$	−3.89929			−0.462761			−0.231380	−	0.972863i	$-0.574324\pi$
$71$	−3.89929			−0.462761			−0.231380	+	0.972863i	$0.574324\pi$
$72$	4.63332	+	6.29676i	0.546042	+	0.742080i
$73$	9.73964	−	9.73964i	1.13994	−	1.13994i	0.151477	−	0.988461i	$-0.451597\pi$
$73$	9.73964	−	9.73964i	1.13994	−	1.13994i	0.988461	−	0.151477i	$-0.0484031\pi$
$74$	5.73414	−	3.31061i	0.666581	−	0.384851i
$75$	0.244327	+	0.508280i	0.0282125	+	0.0586911i
$76$	−0.219871	−	0.820568i	−0.0252209	−	0.0941257i
$77$	−0.868799	−	3.24240i	−0.0990088	−	0.369506i
$78$	−6.20347	−	7.21901i	−0.702405	−	0.817392i
$79$	−1.41681	+	5.28760i	−0.159403	+	0.594902i	0.839285	+	0.543692i	$0.182974\pi$
$79$	−1.41681	+	5.28760i	−0.159403	+	0.594902i	−0.998688	+	0.0512093i	$0.983692\pi$
$80$	−10.3110			−1.15281
$81$	8.59253	+	2.67739i	0.954725	+	0.297488i
$82$	−13.1587			−1.45313
$83$	−1.28536	+	0.742103i	−0.141087	+	0.0814563i	−0.568882	−	0.822419i	$-0.692624\pi$
$83$	−1.28536	+	0.742103i	−0.141087	+	0.0814563i	0.427795	+	0.903876i	$0.359290\pi$
$84$	−0.121182	+	1.60169i	−0.0132221	+	0.174759i
$85$	3.81173	+	14.2256i	0.413440	+	1.54298i
$86$	1.90840	−	3.30545i	0.205788	−	0.356436i
$87$	1.83656	−	9.14478i	0.196900	−	0.980424i
$88$	1.27641	+	2.21081i	0.136066	+	0.235674i
$89$	−4.22391	+	4.22391i	−0.447734	+	0.447734i	−0.894600	−	0.446867i	$-0.852540\pi$
$89$	−4.22391	+	4.22391i	−0.447734	+	0.447734i	0.446867	+	0.894600i	$0.352540\pi$
$90$	−8.40266	+	6.18289i	−0.885718	+	0.651734i
$91$			12.4963i			1.30997i
$92$	−0.239548	−	0.414909i	−0.0249746	−	0.0432573i
$93$	7.84789	−	1.47909i	0.813788	−	0.153374i
$94$	−5.79813	+	10.0427i	−0.598031	+	1.03582i
$95$	−6.99684	+	1.87480i	−0.717861	+	0.192350i
$96$	−0.487896	−	2.58873i	−0.0497957	−	0.264211i
$97$	−14.2384	−	3.81516i	−1.44569	−	0.387371i	−0.551167	−	0.834395i	$-0.685817\pi$
$97$	−14.2384	−	3.81516i	−1.44569	−	0.387371i	−0.894522	+	0.447024i	$0.852484\pi$
$98$	5.05205	−	5.05205i	0.510334	−	0.510334i
$99$	2.69199	+	1.17909i	0.270556	+	0.118503i
$100$		−	0.0881211i		−	0.00881211i
$101$	13.0819	+	3.50530i	1.30170	+	0.348790i	0.842094	−	0.539331i	$-0.181323\pi$
$101$	13.0819	+	3.50530i	1.30170	+	0.348790i	0.459609	+	0.888121i	$0.347990\pi$
$102$	−15.0119	+	7.21613i	−1.48640	+	0.714503i
$103$	−1.08059	+	1.87164i	−0.106474	+	0.184418i	−0.914339	−	0.404949i	$-0.867289\pi$
$103$	−1.08059	+	1.87164i	−0.106474	+	0.184418i	0.807866	+	0.589367i	$0.200623\pi$
$104$	−2.45967	−	9.17963i	−0.241191	−	0.900137i
$105$	13.6573	+	1.03330i	1.33282	+	0.100840i
$106$	2.23117	−	8.32685i	0.216711	−	0.808775i
$107$		−	11.7414i		−	1.13509i	−0.823343	−	0.567544i	$-0.807894\pi$
$107$		−	11.7414i		−	1.13509i	0.823343	−	0.567544i	$-0.192106\pi$
$108$	−1.02884	−	0.958739i	−0.0989999	−	0.0922547i
$109$		−	12.4182i		−	1.18944i	−0.803932	−	0.594722i	$-0.797262\pi$
$109$		−	12.4182i		−	1.18944i	0.803932	−	0.594722i	$-0.202738\pi$
$110$	−2.95020	+	1.70330i	−0.281291	+	0.162403i
$111$	5.77224	−	4.96023i	0.547877	−	0.470804i
$112$	−7.65503	+	13.2589i	−0.723333	+	1.25285i
$113$	−2.22666	+	0.596633i	−0.209467	+	0.0561265i	−0.362027	−	0.932168i	$-0.617915\pi$
$113$	−2.22666	+	0.596633i	−0.209467	+	0.0561265i	0.152560	+	0.988294i	$0.451248\pi$
$114$	−3.54925	−	7.38361i	−0.332418	−	0.691538i
$115$	−3.53786	+	2.04258i	−0.329907	+	0.190472i
$116$	−0.877710	+	1.16353i	−0.0814933	+	0.108031i
$117$	−8.54398	−	6.83362i	−0.789892	−	0.631768i
$118$	9.72553	+	9.72553i	0.895308	+	0.895308i
$119$	21.1225	+	5.65976i	1.93630	+	0.518829i
$120$	−10.2359	+	1.92915i	−0.934402	+	0.176106i
$121$	−8.69517	−	5.02016i	−0.790470	−	0.456378i
$122$	−5.75703	+	9.97147i	−0.521217	+	0.902774i
$123$	−14.8634	+	2.80130i	−1.34019	+	0.252585i
$124$	−1.20535	−	0.322972i	−0.108243	−	0.0290037i
$125$	10.7872			0.964840
$126$	1.71232	+	15.3952i	0.152546	+	1.37152i
$127$	15.1571	+	15.1571i	1.34498	+	1.34498i	0.891029	+	0.453946i	$0.149984\pi$
$127$	15.1571	+	15.1571i	1.34498	+	1.34498i	0.453946	+	0.891029i	$0.350016\pi$
$128$	3.37858	−	12.6090i	0.298627	−	1.11449i
$129$	1.45196	−	4.13996i	0.127838	−	0.364503i
$130$	12.2497	−	3.28229i	1.07437	−	0.287876i
$131$	−21.6572	+	5.80303i	−1.89220	+	0.507013i	−0.893929	+	0.448209i	$0.852062\pi$
$131$	−21.6572	+	5.80303i	−1.89220	+	0.507013i	−0.998270	+	0.0588036i	$0.981271\pi$
$132$	−0.299294	−	0.348289i	−0.0260502	−	0.0303147i
$133$	−2.78375	+	10.3891i	−0.241382	+	0.900850i
$134$	12.3565	+	12.3565i	1.06744	+	1.06744i
$135$	−8.17500	+	8.77272i	−0.703592	+	0.755035i
$136$	−16.6303			−1.42604
$137$	−22.5040	−	6.02993i	−1.92265	−	0.515172i	−0.986558	−	0.163409i	$-0.947751\pi$
$137$	−22.5040	−	6.02993i	−1.92265	−	0.515172i	−0.936089	−	0.351762i	$-0.885582\pi$
$138$	−3.01119	−	3.50413i	−0.256330	−	0.298292i
$139$	3.60927	−	6.25144i	0.306134	−	0.530240i	−0.671379	−	0.741114i	$-0.734298\pi$
$139$	3.60927	−	6.25144i	0.306134	−	0.530240i	0.977513	+	0.210874i	$0.0676310\pi$
$140$	−1.85341	−	1.07007i	−0.156642	−	0.0904372i
$141$	−4.41135	+	12.5781i	−0.371503	+	1.05926i
$142$	5.67550	+	1.52075i	0.476277	+	0.127618i
$143$	−2.52621	−	2.52621i	−0.211252	−	0.211252i
$144$	−4.87922	−	12.4845i	−0.406601	−	1.04038i
$145$	9.92124	+	7.48408i	0.823914	+	0.621519i
$146$	−17.9747	+	10.3777i	−1.48760	+	0.858867i
$147$	4.63105	−	6.78207i	0.381962	−	0.559376i
$148$	−1.14869	+	0.307792i	−0.0944220	+	0.0253003i
$149$	0.868063	−	1.50353i	0.0711145	−	0.123174i	−0.828276	−	0.560321i	$-0.810678\pi$
$149$	0.868063	−	1.50353i	0.0711145	−	0.123174i	0.899390	+	0.437147i	$0.144011\pi$
$150$	−0.157391	−	0.835101i	−0.0128509	−	0.0681857i
$151$	15.1953	−	8.77300i	1.23657	−	0.713937i	0.268182	−	0.963368i	$-0.413577\pi$
$151$	15.1953	−	8.77300i	1.23657	−	0.713937i	0.968392	+	0.249432i	$0.0802438\pi$
$152$		−	8.17962i		−	0.663455i
$153$	−15.4205	+	11.3468i	−1.24668	+	0.917337i
$154$			5.05821i			0.407603i
$155$	−2.75392	+	10.2778i	−0.221201	+	0.825532i
$156$	0.740640	+	1.54077i	0.0592987	+	0.123361i
$157$	−3.56305	−	13.2975i	−0.284363	−	1.06126i	−0.949304	−	0.314360i	$-0.898210\pi$
$157$	−3.56305	−	13.2975i	−0.284363	−	1.06126i	0.664941	−	0.746896i	$-0.268457\pi$
$158$	4.12439	−	7.14365i	0.328119	−	0.568318i
$159$	0.747557	−	9.88061i	0.0592852	−	0.783583i
$160$	3.39026	+	0.908418i	0.268024	+	0.0718167i
$161$			6.06577i			0.478049i
$162$	−11.4624	−	7.24813i	−0.900571	−	0.569467i
$163$	11.6148	−	11.6148i	0.909740	−	0.909740i	−0.0865108	−	0.996251i	$-0.527572\pi$
$163$	11.6148	−	11.6148i	0.909740	−	0.909740i	0.996251	+	0.0865108i	$0.0275717\pi$
$164$	2.28285	+	0.611689i	0.178261	+	0.0477649i
$165$	−2.96980	+	2.55203i	−0.231199	+	0.198675i
$166$	2.16029	−	0.578848i	0.167671	−	0.0449273i
$167$	0.894361	−	1.54908i	0.0692077	−	0.119871i	−0.829345	−	0.558737i	$-0.811286\pi$
$167$	0.894361	−	1.54908i	0.0692077	−	0.119871i	0.898553	+	0.438865i	$0.144620\pi$
$168$	−5.11856	+	14.5945i	−0.394905	+	1.12599i
$169$	0.149890	+	0.259616i	0.0115300	+	0.0199705i
$170$		−	22.1922i		−	1.70206i
$171$	−5.58094	−	7.58459i	−0.426785	−	0.580008i
$172$	−0.484739	+	0.484739i	−0.0369610	+	0.0369610i
$173$	1.27135	+	2.20203i	0.0966586	+	0.167418i	0.910300	−	0.413950i	$-0.135851\pi$
$173$	1.27135	+	2.20203i	0.0966586	+	0.167418i	−0.813641	+	0.581368i	$0.802518\pi$
$174$	−6.23967	+	12.5941i	−0.473028	+	0.954760i
$175$	−0.557845	+	0.966215i	−0.0421691	+	0.0730390i
$176$	−1.13286	−	4.22789i	−0.0853924	−	0.318689i
$177$	13.0559	+	8.91508i	0.981345	+	0.670098i
$178$	7.79533	−	4.50064i	0.584285	−	0.337337i
$179$	2.12556			0.158872			0.0794360	−	0.996840i	$-0.474688\pi$
$179$	2.12556			0.158872			0.0794360	+	0.996840i	$0.474688\pi$
$180$	1.74516	−	0.682047i	0.130077	−	0.0508368i
$181$	−6.51616			−0.484342			−0.242171	−	0.970234i	$-0.577860\pi$
$181$	−6.51616			−0.484342			−0.242171	+	0.970234i	$0.577860\pi$
$182$	4.87364	−	18.1887i	0.361258	−	1.34823i
$183$	−4.38008	+	12.4889i	−0.323785	+	0.923206i
$184$	−1.19394	−	4.45583i	−0.0880181	−	0.328488i
$185$	2.62448	+	9.79471i	0.192956	+	0.720121i
$186$	−11.9996	−	0.907879i	−0.879854	−	0.0665689i
$187$	−5.41421	+	3.12589i	−0.395926	+	0.228588i
$188$	1.47274	−	1.47274i	0.107410	−	0.107410i
$189$	5.21159	+	17.0252i	0.379088	+	1.23840i
$190$	10.9152			0.791874
$191$	−2.43044	−	0.651235i	−0.175861	−	0.0471217i	0.169814	−	0.985476i	$-0.445683\pi$
$191$	−2.43044	−	0.651235i	−0.175861	−	0.0471217i	−0.345675	+	0.938354i	$0.612350\pi$
$192$	0.868218	−	11.4754i	0.0626582	−	0.828166i
$193$	6.90478	−	1.85013i	0.497017	−	0.133175i	−0.00159839	−	0.999999i	$-0.500509\pi$
$193$	6.90478	−	1.85013i	0.497017	−	0.133175i	0.498615	+	0.866823i	$0.333842\pi$
$194$	19.2363	+	11.1061i	1.38109	+	0.797371i
$195$	13.1379	−	6.31531i	0.940825	−	0.452249i
$196$	−1.11131	+	0.641615i	−0.0793793	+	0.0458297i
$197$		−	23.3533i		−	1.66385i	−0.554887	−	0.831925i	$-0.687239\pi$
$197$		−	23.3533i		−	1.66385i	0.554887	−	0.831925i	$-0.312761\pi$
$198$	−3.45840	−	2.76609i	−0.245778	−	0.196577i
$199$	11.8223			0.838057			0.419029	−	0.907973i	$-0.362371\pi$
$199$	11.8223			0.838057			0.419029	+	0.907973i	$0.362371\pi$
$200$	0.219603	−	0.819570i	0.0155283	−	0.0579523i
$201$	16.5879	+	11.3268i	1.17002	+	0.798933i
$202$	−17.6740	−	10.2041i	−1.24354	−	0.717955i
$203$	16.9894	−	7.20142i	1.19242	−	0.505441i
$204$	2.93981	−	0.554065i	0.205828	−	0.0387923i
$205$	5.21577	−	19.4655i	0.364285	−	1.35953i
$206$	2.30277	−	2.30277i	0.160441	−	0.160441i
$207$	−4.14728	−	3.31707i	−0.288256	−	0.230552i
$208$			16.2944i			1.12982i
$209$	−1.53747	−	2.66298i	−0.106349	−	0.184202i
$210$	−19.4755	−	6.83042i	−1.34394	−	0.471344i
$211$	1.63756	+	6.11147i	0.112735	+	0.420731i	0.999107	−	0.0422410i	$-0.0134497\pi$
$211$	1.63756	+	6.11147i	0.112735	+	0.420731i	−0.886373	+	0.462972i	$0.846783\pi$
$212$	−0.774158	+	1.34088i	−0.0531694	+	0.0920920i
$213$	6.73453	+	0.509528i	0.461442	+	0.0349123i
$214$	−4.57923	+	17.0899i	−0.313030	+	1.16824i
$215$	4.13328	+	4.13328i	0.281887	+	0.281887i
$216$	−7.17946	−	11.4807i	−0.488501	−	0.781161i
$217$	11.1716	+	11.1716i	0.758380	+	0.758380i
$218$	−4.84315	+	18.0749i	−0.328019	+	1.22419i
$219$	−18.0942	+	15.5488i	−1.22269	+	1.05069i
$220$	0.591000	−	0.158358i	0.0398452	−	0.0106765i
$221$	22.4806	−	6.02366i	1.51221	−	0.405195i
$222$	−10.3361	+	4.96851i	−0.693716	+	0.333465i
$223$	0.919993	+	1.59347i	0.0616073	+	0.106707i	0.895184	−	0.445697i	$-0.147044\pi$
$223$	0.919993	+	1.59347i	0.0616073	+	0.106707i	−0.833577	+	0.552404i	$0.813711\pi$
$224$	3.68511	−	3.68511i	0.246222	−	0.246222i
$225$	−0.355563	−	0.909784i	−0.0237042	−	0.0606523i
$226$	3.47364			0.231063
$227$	7.59478	−	4.38485i	0.504083	−	0.291032i	−0.226315	−	0.974054i	$-0.572668\pi$
$227$	7.59478	−	4.38485i	0.504083	−	0.291032i	0.730398	+	0.683022i	$0.239335\pi$
$228$	0.272517	+	1.44595i	0.0180479	+	0.0957602i
$229$	−6.58672	−	24.5820i	−0.435262	−	1.62442i	−0.740437	−	0.672125i	$-0.765382\pi$
$229$	−6.58672	−	24.5820i	−0.435262	−	1.62442i	0.305175	−	0.952296i	$-0.401285\pi$
$230$	5.94604	−	1.59324i	0.392070	−	0.105055i
$231$	1.07682	+	5.71352i	0.0708498	+	0.375922i
$232$	−11.0627	+	8.63412i	−0.726304	+	0.566858i
$233$			4.40613i			0.288655i	0.989530	+	0.144327i	$0.0461019\pi$
$233$			4.40613i			0.288655i	−0.989530	+	0.144327i	$0.953898\pi$
$234$	9.77079	+	13.2787i	0.638737	+	0.868054i
$235$	−12.5578	−	12.5578i	−0.819179	−	0.819179i
$236$	−1.23515	−	2.13935i	−0.0804016	−	0.139260i
$237$	3.13793	−	8.94716i	0.203831	−	0.581180i
$238$	−28.5369	−	16.4758i	−1.84977	−	1.06797i
$239$	10.4157	+	6.01352i	0.673737	+	0.388982i	0.797491	−	0.603331i	$-0.206160\pi$
$239$	10.4157	+	6.01352i	0.673737	+	0.388982i	−0.123754	+	0.992313i	$0.539493\pi$
$240$	17.8083	+	1.34736i	1.14952	+	0.0869716i
$241$	11.8938	−	6.86687i	0.766144	−	0.442334i	−0.0653530	−	0.997862i	$-0.520817\pi$
$241$	11.8938	−	6.86687i	0.766144	−	0.442334i	0.831498	+	0.555528i	$0.187484\pi$
$242$	10.6981	+	10.6981i	0.687701	+	0.687701i
$243$	−14.4904	−	5.74697i	−0.929561	−	0.368668i
$244$	1.46230	−	1.46230i	0.0936140	−	0.0936140i
$245$	5.47094	+	9.47595i	0.349526	+	0.605396i
$246$	22.7265	+	1.71947i	1.44899	+	0.109629i
$247$	2.96273	+	11.0571i	0.188514	+	0.703545i
$248$	−10.4055	−	6.00760i	−0.660747	−	0.381483i
$249$	2.31693	−	1.11374i	0.146830	−	0.0705802i
$250$	−15.7010	−	4.20708i	−0.993021	−	0.266079i
$251$	0.591952	−	0.591952i	0.0373637	−	0.0373637i	−0.688178	−	0.725542i	$-0.741589\pi$
$251$	0.591952	−	0.591952i	0.0373637	−	0.0373637i	0.725542	+	0.688178i	$0.241589\pi$
$252$	0.418591	−	2.75047i	0.0263688	−	0.173263i
$253$	−1.22623	−	1.22623i	−0.0770926	−	0.0770926i
$254$	−16.1501	−	27.9728i	−1.01335	−	1.75517i
$255$	−4.72441	−	25.0673i	−0.295854	−	1.56977i
$256$	−3.19093	+	5.52685i	−0.199433	+	0.345428i
$257$	7.49503	+	4.32726i	0.467527	+	0.269927i	0.715204	−	0.698916i	$-0.246334\pi$
$257$	7.49503	+	4.32726i	0.467527	+	0.269927i	−0.247677	+	0.968843i	$0.579667\pi$
$258$	−3.72796	+	5.45952i	−0.232093	+	0.339895i
$259$	14.5435	+	3.89691i	0.903686	+	0.242142i
$260$	−2.27774			−0.141259
$261$	−4.36692	+	15.5541i	−0.270305	+	0.962775i
$262$	33.7857			2.08729
$263$	10.8564	+	2.90897i	0.669435	+	0.179375i	0.577500	−	0.816390i	$-0.304028\pi$
$263$	10.8564	+	2.90897i	0.669435	+	0.179375i	0.0919347	+	0.995765i	$0.470695\pi$
$264$	−1.91562	−	3.98512i	−0.117898	−	0.245267i
$265$	11.4335	+	6.60111i	0.702351	+	0.405503i
$266$	8.10362	−	14.0359i	0.496865	−	0.860595i
$267$	7.84712	−	6.74323i	0.480236	−	0.412679i
$268$	−1.56929	−	2.71809i	−0.0958598	−	0.166034i
$269$	−4.35975	−	4.35975i	−0.265818	−	0.265818i	0.561594	−	0.827413i	$-0.310188\pi$
$269$	−4.35975	−	4.35975i	−0.265818	−	0.265818i	−0.827413	+	0.561594i	$0.810188\pi$
$270$	15.3203	−	9.58057i	0.932363	−	0.583055i
$271$	−19.2987	+	19.2987i	−1.17231	+	1.17231i	−0.190658	+	0.981656i	$0.561062\pi$
$271$	−19.2987	+	19.2987i	−1.17231	+	1.17231i	−0.981656	+	0.190658i	$0.938938\pi$
$272$	27.5424	+	7.37997i	1.67001	+	0.447477i
$273$	1.63292	−	21.5826i	0.0988287	−	1.30624i
$274$	30.4033	+	17.5534i	1.83673	+	1.06044i
$275$	−0.0825547	−	0.308098i	−0.00497824	−	0.0185790i
$276$	0.359510	+	0.747898i	0.0216399	+	0.0450182i
$277$	−4.16756	−	7.21842i	−0.250404	−	0.433713i	0.713233	−	0.700927i	$-0.247230\pi$
$277$	−4.16756	−	7.21842i	−0.250404	−	0.433713i	−0.963637	+	0.267214i	$0.913897\pi$
$278$	−7.69146	+	7.69146i	−0.461303	+	0.461303i
$279$	−13.7475	+	1.52905i	−0.823040	+	0.0915421i
$280$	−14.5710	−	14.5710i	−0.870782	−	0.870782i
$281$	−22.0582	+	12.7353i	−1.31588	+	0.759726i	−0.983064	−	0.183264i	$-0.941334\pi$
$281$	−22.0582	+	12.7353i	−1.31588	+	0.759726i	−0.332821	+	0.942990i	$0.608000\pi$
$282$	11.3263	−	16.5872i	0.674473	−	0.987751i
$283$	−1.90239	−	1.09835i	−0.113086	−	0.0652899i	0.442390	−	0.896823i	$-0.354131\pi$
$283$	−1.90239	−	1.09835i	−0.113086	−	0.0652899i	−0.555476	+	0.831533i	$0.687464\pi$
$284$	−0.913931	−	0.527658i	−0.0542318	−	0.0313108i
$285$	12.3293	−	2.32370i	0.730327	−	0.137644i
$286$	2.69172	+	4.66219i	0.159165	+	0.275681i
$287$	−21.1584	−	21.1584i	−1.24894	−	1.24894i
$288$	0.504378	+	4.53478i	0.0297208	+	0.267215i
$289$		−	23.7271i		−	1.39571i
$290$	−11.5217	−	14.7626i	−0.676579	−	0.866887i
$291$	24.0928	+	8.44978i	1.41234	+	0.495335i
$292$	3.60079	−	0.964830i	0.210721	−	0.0564624i
$293$	4.01564	+	14.9866i	0.234596	+	0.875526i	0.978330	+	0.207050i	$0.0663863\pi$
$293$	4.01564	+	14.9866i	0.234596	+	0.875526i	−0.743734	+	0.668476i	$0.766947\pi$
$294$	−9.38562	+	8.06530i	−0.547381	+	0.470378i
$295$	−18.2418	+	10.5319i	−1.06208	+	0.613193i
$296$	−11.4505			−0.665544
$297$	−4.49531	−	2.38820i	−0.260844	−	0.138577i
$298$	−1.84987	+	1.84987i	−0.107160	+	0.107160i
$299$	3.22788	+	5.59086i	0.186673	+	0.323328i
$300$	−0.0115149	+	0.152195i	−0.000664816	+	0.00878700i
$301$	8.38358	−	2.24637i	0.483222	−	0.129479i
$302$	−25.5386	+	6.84303i	−1.46958	+	0.393772i
$303$	−22.1360	−	7.76349i	−1.27168	−	0.446001i
$304$	−3.62984	+	13.5467i	−0.208186	+	0.776959i
$305$	−12.4688	−	12.4688i	−0.713959	−	0.713959i
$306$	26.8702	−	10.5015i	1.53607	−	0.600328i
$307$	−20.6236	−	20.6236i	−1.17705	−	1.17705i	−0.980492	−	0.196557i	$-0.937024\pi$
$307$	−20.6236	−	20.6236i	−1.17705	−	1.17705i	−0.196557	−	0.980492i	$-0.562976\pi$
$308$	0.235134	−	0.877533i	0.0133980	−	0.0500021i
$309$	2.11087	−	3.09133i	0.120083	−	0.175859i
$310$	8.01679	−	13.8855i	0.455323	−	0.788642i
$311$	3.98585	+	14.8754i	0.226017	+	0.843507i	0.981995	+	0.188909i	$0.0604952\pi$
$311$	3.98585	+	14.8754i	0.226017	+	0.843507i	−0.755978	+	0.654598i	$0.772838\pi$
$312$	3.04862	+	16.1757i	0.172594	+	0.915768i
$313$	14.0279	+	24.2970i	0.792904	+	1.37335i	0.924162	+	0.382001i	$0.124765\pi$
$313$	14.0279	+	24.2970i	0.792904	+	1.37335i	−0.131258	+	0.991348i	$0.541902\pi$
$314$			20.7444i			1.17067i
$315$	−23.4527	−	3.56926i	−1.32141	−	0.201105i
$316$	−1.04760	+	1.04760i	−0.0589323	+	0.0589323i
$317$	−3.17060	+	11.8329i	−0.178079	+	0.664599i	0.817928	+	0.575321i	$0.195123\pi$
$317$	−3.17060	+	11.8329i	−0.178079	+	0.664599i	−0.996007	+	0.0892785i	$0.971544\pi$
$318$	−4.94158	+	14.0899i	−0.277110	+	0.790121i
$319$	−1.97871	+	4.89033i	−0.110786	+	0.273806i
$320$	13.2789	+	7.66657i	0.742312	+	0.428574i
$321$	−1.53428	+	20.2788i	−0.0856349	+	1.13185i
$322$	2.36568	−	8.82885i	0.131834	−	0.492012i
$323$	20.0316			1.11459
$324$	1.65164	+	1.79029i	0.0917578	+	0.0994607i
$325$			1.18742i			0.0658664i
$326$	−21.4354	+	12.3757i	−1.18720	+	0.685428i
$327$	−1.62270	+	21.4476i	−0.0897357	+	1.18605i
$328$	19.7073	+	11.3780i	1.08815	+	0.628246i
$329$	−25.4711	+	6.82496i	−1.40427	+	0.376272i
$330$	5.31791	−	2.55629i	0.292741	−	0.140719i
$331$	−24.6735	−	6.61124i	−1.35618	−	0.363387i	−0.493766	−	0.869595i	$-0.664380\pi$
$331$	−24.6735	−	6.61124i	−1.35618	−	0.363387i	−0.862411	+	0.506208i	$0.831047\pi$
$332$	−0.401690			−0.0220456
$333$	−10.6175	+	7.81262i	−0.581834	+	0.428129i
$334$	−1.90591	+	1.90591i	−0.104287	+	0.104287i
$335$	−23.1767	+	13.3811i	−1.26628	+	0.731087i
$336$	14.9537	−	21.8994i	0.815790	−	1.19471i
$337$	8.28893	+	30.9347i	0.451527	+	1.68512i	0.698102	+	0.715998i	$0.254028\pi$
$337$	8.28893	+	30.9347i	0.451527	+	1.68512i	−0.246575	+	0.969124i	$0.579305\pi$
$338$	−0.116915	−	0.436334i	−0.00635936	−	0.0237335i
$339$	3.92367	−	0.739491i	0.213104	−	0.0401636i
$340$	−1.03162	+	3.85005i	−0.0559473	+	0.208798i
$341$	−4.51684			−0.244600
$342$	5.16514	+	13.2161i	0.279299	+	0.714646i
$343$	−7.73921			−0.417878
$344$	−5.71630	+	3.30031i	−0.308203	+	0.177941i
$345$	6.37719	−	3.06548i	0.343337	−	0.165040i
$346$	−0.991663	−	3.70094i	−0.0533121	−	0.198964i
$347$	−7.85064	+	13.5977i	−0.421445	+	0.729963i	−0.996081	−	0.0884454i	$-0.971810\pi$
$347$	−7.85064	+	13.5977i	−0.421445	+	0.729963i	0.574636	+	0.818409i	$0.305143\pi$
$348$	1.66795	−	1.89486i	0.0894113	−	0.101575i
$349$	−7.20890	−	12.4862i	−0.385883	−	0.668370i	0.606008	−	0.795459i	$-0.292770\pi$
$349$	−7.20890	−	12.4862i	−0.385883	−	0.668370i	−0.991891	+	0.127089i	$0.959437\pi$
$350$	1.18878	−	1.18878i	0.0635432	−	0.0635432i
$351$	13.8635	+	12.9189i	0.739978	+	0.689560i
$352$			1.48994i			0.0794139i
$353$	3.02639	+	5.24187i	0.161079	+	0.278996i	0.935256	−	0.353973i	$-0.115169\pi$
$353$	3.02639	+	5.24187i	0.161079	+	0.278996i	−0.774177	+	0.632969i	$0.781836\pi$
$354$	−15.5263	−	18.0680i	−0.825211	−	0.960301i
$355$	−4.49925	+	7.79293i	−0.238795	+	0.413606i
$356$	−1.56160	+	0.418430i	−0.0827647	+	0.0221767i
$357$	−35.7414	−	12.5352i	−1.89164	−	0.663432i
$358$	−3.09380	−	0.828981i	−0.163512	−	0.0438130i
$359$	10.6622	−	10.6622i	0.562731	−	0.562731i	−0.367351	−	0.930082i	$-0.619735\pi$
$359$	10.6622	−	10.6622i	0.562731	−	0.562731i	0.930082	+	0.367351i	$0.119735\pi$
$360$	17.9306	−	1.99432i	0.945025	−	0.105110i
$361$		−	9.14746i		−	0.481445i
$362$	9.48440	+	2.54134i	0.498489	+	0.133570i
$363$	14.3616	+	9.80661i	0.753787	+	0.514713i
$364$	−1.69102	+	2.92894i	−0.0886336	+	0.153518i
$365$	−8.22694	−	30.7033i	−0.430618	−	1.60709i
$366$	11.2460	−	16.4696i	0.587840	−	0.860879i
$367$	5.50723	−	20.5533i	0.287475	−	1.07287i	−0.659536	−	0.751673i	$-0.729247\pi$
$367$	5.50723	−	20.5533i	0.287475	−	1.07287i	0.947012	−	0.321200i	$-0.104086\pi$
$368$			7.90938i			0.412305i
$369$	26.0369	−	2.89594i	1.35543	−	0.150756i
$370$		−	15.2800i		−	0.794367i
$371$	16.9767	−	9.80150i	0.881387	−	0.508869i
$372$	2.03957	+	0.715314i	0.105747	+	0.0370873i
$373$	1.17019	−	2.02682i	0.0605899	−	0.104945i	−0.834139	−	0.551554i	$-0.814035\pi$
$373$	1.17019	−	2.02682i	0.0605899	−	0.104945i	0.894729	+	0.446609i	$0.147368\pi$
$374$	9.09960	−	2.43823i	0.470529	−	0.126078i
$375$	−18.6308	−	1.40959i	−0.962090	−	0.0727908i
$376$	17.3673	−	10.0270i	0.895652	−	0.517105i
$377$	11.8270	−	15.6785i	0.609124	−	0.807483i
$378$	−0.945657	−	26.8131i	−0.0486393	−	1.37912i
$379$	−16.7020	−	16.7020i	−0.857924	−	0.857924i	0.133170	−	0.991093i	$-0.457484\pi$
$379$	−16.7020	−	16.7020i	−0.857924	−	0.857924i	−0.991093	+	0.133170i	$0.957484\pi$
$380$	−1.89365	−	0.507401i	−0.0971420	−	0.0260291i
$381$	−24.1974	−	28.1587i	−1.23967	−	1.44261i
$382$	3.28357	+	1.89577i	0.168002	+	0.0969961i
$383$	4.48217	−	7.76335i	0.229028	−	0.396689i	−0.728492	−	0.685054i	$-0.759778\pi$
$383$	4.48217	−	7.76335i	0.229028	−	0.396689i	0.957520	+	0.288365i	$0.0931118\pi$
$384$	−7.48284	+	21.3358i	−0.381857	+	1.08879i
$385$	−7.48257	−	2.00495i	−0.381347	−	0.102182i
$386$	−10.7716			−0.548260
$387$	−3.04867	+	6.96045i	−0.154973	+	0.353820i
$388$	−2.82097	−	2.82097i	−0.143213	−	0.143213i
$389$	−1.66667	+	6.22009i	−0.0845034	+	0.315371i	−0.995220	−	0.0976615i	$-0.968864\pi$
$389$	−1.66667	+	6.22009i	−0.0845034	+	0.315371i	0.910716	+	0.413033i	$0.135530\pi$
$390$	−21.5855	+	4.06821i	−1.09302	+	0.206002i
$391$	10.9122	−	2.92391i	0.551852	−	0.147868i
$392$	−11.9347	+	3.19789i	−0.602792	+	0.161518i
$393$	38.1628	−	7.19251i	1.92506	−	0.362814i
$394$	−9.10790	+	33.9911i	−0.458849	+	1.71245i
$395$	8.93273	+	8.93273i	0.449454	+	0.449454i
$396$	0.471403	+	0.640645i	0.0236889	+	0.0321936i
$397$	−33.1071			−1.66160			−0.830798	−	0.556574i	$-0.812116\pi$
$397$	−33.1071			−1.66160			−0.830798	+	0.556574i	$0.812116\pi$
$398$	−17.2075	−	4.61074i	−0.862535	−	0.231116i
$399$	6.16542	−	17.5794i	0.308657	−	0.880072i
$400$	−0.727395	+	1.25988i	−0.0363697	+	0.0629942i
$401$	−2.97078	−	1.71518i	−0.148354	−	0.0856521i	0.423986	−	0.905669i	$-0.360631\pi$
$401$	−2.97078	−	1.71518i	−0.148354	−	0.0856521i	−0.572339	+	0.820017i	$0.693964\pi$
$402$	−19.7265	−	22.9558i	−0.983868	−	1.14493i
$403$	16.2419	+	4.35201i	0.809068	+	0.216789i
$404$	2.59185	+	2.59185i	0.128950	+	0.128950i
$405$	15.2655	−	14.0832i	0.758549	−	0.699802i
$406$	−27.5370	+	3.85584i	−1.36664	+	0.191362i
$407$	−3.72784	+	2.15227i	−0.184782	+	0.106684i
$408$	28.7225	+	2.17312i	1.42197	+	0.107585i
$409$	−8.27727	+	2.21789i	−0.409285	+	0.109667i	−0.457586	−	0.889165i	$-0.651286\pi$
$409$	−8.27727	+	2.21789i	−0.409285	+	0.109667i	0.0483015	+	0.998833i	$0.484619\pi$
$410$	−15.1833	+	26.2983i	−0.749850	+	1.29878i
$411$	38.0791	+	13.3550i	1.87830	+	0.658755i
$412$	−0.506545	+	0.292454i	−0.0249557	+	0.0144082i
$413$			31.2762i			1.53900i
$414$	4.74278	+	6.44552i	0.233095	+	0.316780i
$415$			3.42514i			0.168133i
$416$	1.43557	−	5.35761i	0.0703845	−	0.262679i
$417$	−7.05051	+	10.3253i	−0.345265	+	0.505633i
$418$	1.19924	+	4.47564i	0.0586569	+	0.218911i
$419$	0.276281	−	0.478533i	0.0134972	−	0.0233779i	−0.859198	−	0.511643i	$-0.829037\pi$
$419$	0.276281	−	0.478533i	0.0134972	−	0.0233779i	0.872695	+	0.488266i	$0.162370\pi$
$420$	3.06123	+	2.09032i	0.149373	+	0.101997i
$421$	19.8159	+	5.30967i	0.965770	+	0.258777i	0.707041	−	0.707173i	$-0.250030\pi$
$421$	19.8159	+	5.30967i	0.965770	+	0.258777i	0.258729	+	0.965950i	$0.416696\pi$
$422$		−	9.53403i		−	0.464109i
$423$	9.26251	−	21.1473i	0.450359	−	1.02822i
$424$	−10.5416	+	10.5416i	−0.511945	+	0.511945i
$425$	2.00710	+	0.537800i	0.0973586	+	0.0260871i
$426$	−9.60352	−	3.36813i	−0.465292	−	0.163186i
$427$	−25.2905	+	6.77658i	−1.22389	+	0.327942i
$428$	1.58887	−	2.75200i	0.0768009	−	0.133023i
$429$	4.03295	+	4.69316i	0.194713	+	0.226588i
$430$	−4.40407	−	7.62808i	−0.212383	−	0.367858i
$431$		−	7.48413i		−	0.360498i	−0.983621	−	0.180249i	$-0.942310\pi$
$431$		−	7.48413i		−	0.360498i	0.983621	−	0.180249i	$-0.0576903\pi$
$432$	6.79559	+	22.1998i	0.326953	+	1.06809i
$433$	16.1248	−	16.1248i	0.774911	−	0.774911i	−0.204050	−	0.978961i	$-0.565410\pi$
$433$	16.1248	−	16.1248i	0.774911	−	0.774911i	0.978961	+	0.204050i	$0.0654104\pi$
$434$	−11.9035	−	20.6175i	−0.571388	−	0.989674i
$435$	−16.1572	−	14.2223i	−0.774676	−	0.681906i
$436$	1.68044	−	2.91061i	0.0804787	−	0.139393i
$437$	1.43812	+	5.36715i	0.0687947	+	0.256745i
$438$	32.4005	−	15.5747i	1.54816	−	0.744189i
$439$	1.02365	−	0.591004i	0.0488561	−	0.0282071i	−0.475373	−	0.879784i	$-0.657687\pi$
$439$	1.02365	−	0.591004i	0.0488561	−	0.0282071i	0.524229	+	0.851577i	$0.324354\pi$
$440$	5.89123			0.280853
$441$	−8.88457	+	11.1083i	−0.423075	+	0.528965i
$442$	−35.0702			−1.66812
$443$	3.52628	−	13.1603i	0.167539	−	0.625263i	−0.830164	−	0.557519i	$-0.811753\pi$
$443$	3.52628	−	13.1603i	0.167539	−	0.625263i	0.997703	−	0.0677439i	$-0.0215801\pi$
$444$	2.02415	−	0.381489i	0.0960617	−	0.0181047i
$445$	3.56788	+	13.3155i	0.169134	+	0.631216i
$446$	−0.717604	−	2.67814i	−0.0339796	−	0.126813i
$447$	−1.69571	+	2.48333i	−0.0802045	+	0.117458i
$448$	19.7169	−	11.3835i	0.931534	−	0.537821i
$449$	−15.2510	+	15.2510i	−0.719737	+	0.719737i	−0.968551	−	0.248814i	$-0.919959\pi$
$449$	−15.2510	+	15.2510i	−0.719737	+	0.719737i	0.248814	+	0.968551i	$0.419959\pi$
$450$	0.162708	+	1.46288i	0.00767013	+	0.0689609i
$451$	8.55461			0.402821
$452$	−0.602631	−	0.161475i	−0.0283454	−	0.00759512i
$453$	−27.3904	+	13.1664i	−1.28691	+	0.618610i
$454$	−12.7645	+	3.42023i	−0.599066	+	0.160519i
$455$	24.9745	+	14.4191i	1.17082	+	0.675976i
$456$	−1.06885	+	14.1271i	−0.0500533	+	0.661564i
$457$	−24.0428	+	13.8811i	−1.12468	+	0.649332i	−0.942591	−	0.333951i	$-0.891618\pi$
$457$	−24.0428	+	13.8811i	−1.12468	+	0.649332i	−0.182086	+	0.983283i	$0.558285\pi$
$458$			38.3484i			1.79190i
$459$	28.1158	−	17.5823i	1.31233	−	0.820669i
$460$	−1.10562			−0.0515499
$461$	6.84572	−	25.5486i	0.318837	−	1.18992i	−0.601527	−	0.798852i	$-0.705441\pi$
$461$	6.84572	−	25.5486i	0.318837	−	1.18992i	0.920364	−	0.391063i	$-0.127893\pi$
$462$	0.660966	−	8.73612i	0.0307509	−	0.406441i
$463$	19.8255	+	11.4462i	0.921367	+	0.531952i	0.884071	−	0.467353i	$-0.154792\pi$
$463$	19.8255	+	11.4462i	0.921367	+	0.531952i	0.0372963	+	0.999304i	$0.488125\pi$
$464$	22.1531	−	9.39020i	1.02843	−	0.435929i
$465$	6.09936	−	17.3911i	0.282851	−	0.806491i
$466$	1.71841	−	6.41321i	0.0796040	−	0.297086i
$467$	−8.43163	+	8.43163i	−0.390169	+	0.390169i	−0.874748	−	0.484578i	$-0.838973\pi$
$467$	−8.43163	+	8.43163i	−0.390169	+	0.390169i	0.484578	+	0.874748i	$0.338973\pi$
$468$	−1.07783	−	2.75787i	−0.0498229	−	0.127483i
$469$			39.7372i			1.83489i
$470$	13.3805	+	23.1757i	0.617196	+	1.06902i
$471$	4.41619	+	23.4319i	0.203487	+	1.07968i
$472$	−6.15615	−	22.9751i	−0.283360	−	1.05751i
$473$	−1.24068	+	2.14891i	−0.0570463	+	0.0988072i
$474$	−8.05676	+	11.7990i	−0.370059	+	0.541944i
$475$	−0.264517	+	0.987191i	−0.0121369	+	0.0452954i
$476$	4.18489	+	4.18489i	0.191814	+	0.191814i
$477$	−2.58223	+	16.9673i	−0.118232	+	0.776877i
$478$	−12.8150	−	12.8150i	−0.586144	−	0.586144i
$479$	6.76315	−	25.2404i	0.309016	−	1.15326i	−0.620416	−	0.784273i	$-0.713036\pi$
$479$	6.76315	−	25.2404i	0.309016	−	1.15326i	0.929433	−	0.368992i	$-0.120297\pi$
$480$	−5.73667	−	2.01195i	−0.261842	−	0.0918327i
$481$	15.4785	−	4.14746i	0.705760	−	0.189108i
$482$	−19.9897	+	5.35623i	−0.910507	+	0.243970i
$483$	0.792625	−	10.4763i	0.0360657	−	0.476687i
$484$	−1.35867	−	2.35329i	−0.0617578	−	0.106968i
$485$	−24.0539	+	24.0539i	−1.09223	+	1.09223i
$486$	18.8498	+	14.0162i	0.855042	+	0.635786i
$487$	24.6894			1.11878			0.559392	−	0.828903i	$-0.311035\pi$
$487$	24.6894			1.11878			0.559392	+	0.828903i	$0.311035\pi$
$488$	17.2442	−	9.95596i	0.780609	−	0.450685i
$489$	−21.5778	+	18.5423i	−0.975781	+	0.838514i
$490$	−4.26739	−	15.9261i	−0.192781	−	0.719469i
$491$	−31.1399	+	8.34392i	−1.40532	+	0.376556i	−0.880254	−	0.474503i	$-0.842628\pi$
$491$	−31.1399	+	8.34392i	−1.40532	+	0.376556i	−0.525071	+	0.851059i	$0.675961\pi$
$492$	−3.86282	−	1.35476i	−0.174149	−	0.0610774i
$493$	−21.1447	−	27.0922i	−0.952308	−	1.22017i
$494$		−	17.2493i		−	0.776081i
$495$	5.46267	−	4.01957i	0.245529	−	0.180666i
$496$	14.5671	+	14.5671i	0.654083	+	0.654083i
$497$	6.68061	+	11.5712i	0.299666	+	0.519037i
$498$	−3.80671	+	0.717448i	−0.170583	+	0.0321496i
$499$	5.23568	+	3.02282i	0.234381	+	0.135320i	0.612592	−	0.790400i	$-0.290127\pi$
$499$	5.23568	+	3.02282i	0.234381	+	0.135320i	−0.378210	+	0.925720i	$0.623460\pi$
$500$	2.52835	+	1.45975i	0.113071	+	0.0652818i
$501$	−1.74708	+	2.55857i	−0.0780540	+	0.114308i
$502$	−1.09246	+	0.630734i	−0.0487590	+	0.0281510i
$503$	28.9708	+	28.9708i	1.29175	+	1.29175i	0.933707	+	0.358039i	$0.116555\pi$
$503$	28.9708	+	28.9708i	1.29175	+	1.29175i	0.358039	+	0.933707i	$0.383445\pi$
$504$	10.7474	−	24.5375i	0.478729	−	1.09299i
$505$	22.1003	−	22.1003i	0.983450	−	0.983450i
$506$	1.30657	+	2.26305i	0.0580841	+	0.100605i
$507$	−0.224952	−	0.467973i	−0.00999046	−	0.0207834i
$508$	1.50150	+	5.60366i	0.0666181	+	0.248622i
$509$	7.53944	+	4.35290i	0.334180	+	0.192939i	0.657695	−	0.753284i	$-0.271531\pi$
$509$	7.53944	+	4.35290i	0.334180	+	0.192939i	−0.323515	+	0.946223i	$0.604865\pi$
$510$	−2.89990	+	38.3285i	−0.128410	+	1.69721i
$511$	−45.5892	−	12.2156i	−2.01675	−	0.540385i
$512$	−11.6610	+	11.6610i	−0.515346	+	0.515346i
$513$	8.64783	+	13.8287i	0.381811	+	0.610553i
$514$	−9.22151	−	9.22151i	−0.406743	−	0.406743i
$515$	2.49370	+	4.31922i	0.109886	+	0.190328i
$516$	0.900541	−	0.773857i	0.0396441	−	0.0340672i
$517$	3.76943	−	6.52885i	0.165780	−	0.287139i
$518$	−19.6485	−	11.3441i	−0.863304	−	0.498429i
$519$	−1.90801	−	3.96929i	−0.0837526	−	0.174233i
$520$	−21.1841	−	5.67625i	−0.928983	−	0.248920i
$521$	−13.1697			−0.576977			−0.288489	−	0.957483i	$-0.593153\pi$
$521$	−13.1697			−0.576977			−0.288489	+	0.957483i	$0.593153\pi$
$522$	12.4223	−	20.9362i	0.543710	−	0.916352i
$523$	8.93957			0.390900			0.195450	−	0.980714i	$-0.437383\pi$
$523$	8.93957			0.390900			0.195450	+	0.980714i	$0.437383\pi$
$524$	−5.86137	−	1.57055i	−0.256055	−	0.0686098i
$525$	1.08972	−	1.59587i	0.0475592	−	0.0696495i
$526$	−14.6672	−	8.46812i	−0.639521	−	0.369228i
$527$	14.7124	−	25.4826i	0.640882	−	1.11004i
$528$	1.40411	+	7.45008i	0.0611061	+	0.324223i
$529$	−9.93317	−	17.2048i	−0.431877	−	0.748033i
$530$	−14.0672	−	14.0672i	−0.611038	−	0.611038i
$531$	−21.3842	−	17.1034i	−0.927993	−	0.742224i
$532$	−2.05834	+	2.05834i	−0.0892402	+	0.0892402i
$533$	−30.7612	−	8.24245i	−1.33242	−	0.357020i
$534$	−14.0515	+	6.75449i	−0.608070	+	0.292295i
$535$	−23.4659	−	13.5480i	−1.01452	−	0.585732i
$536$	−7.82154	−	29.1904i	−0.337839	−	1.26083i
$537$	−3.67109	−	0.277751i	−0.158419	−	0.0119858i
$538$	4.64537	+	8.04602i	0.200276	+	0.346889i
$539$	−3.28440	+	3.28440i	−0.141469	+	0.141469i
$540$	−3.10322	+	0.949929i	−0.133542	+	0.0408785i
$541$	22.5156	+	22.5156i	0.968021	+	0.968021i	0.999504	−	0.0314831i	$-0.0100230\pi$
$541$	22.5156	+	22.5156i	0.968021	+	0.968021i	−0.0314831	+	0.999504i	$0.510023\pi$
$542$	35.6163	−	20.5631i	1.52985	−	0.883260i
$543$	11.2542	+	0.851478i	0.482962	+	0.0365404i
$544$	−8.40577	−	4.85307i	−0.360394	−	0.208074i
$545$	−24.8183	−	14.3289i	−1.06310	−	0.613781i
$546$	−10.7941	+	30.7770i	−0.461944	+	1.31714i
$547$	13.5727	+	23.5087i	0.580328	+	1.00516i	0.995440	+	0.0953875i	$0.0304090\pi$
$547$	13.5727	+	23.5087i	0.580328	+	1.00516i	−0.415112	+	0.909770i	$0.636258\pi$
$548$	−4.45860	−	4.45860i	−0.190462	−	0.190462i
$549$	9.19685	−	20.9974i	0.392512	−	0.896147i
$550$			0.480640i			0.0204946i
$551$	13.3253	−	10.4000i	0.567677	−	0.443055i
$552$	1.47981	+	7.85174i	0.0629850	+	0.334192i
$553$	18.1184	−	4.85480i	0.770471	−	0.206447i
$554$	3.25074	+	12.1319i	0.138111	+	0.515436i
$555$	−3.25289	−	17.2595i	−0.138078	−	0.732626i
$556$	1.69191	−	0.976824i	0.0717529	−	0.0414266i
$557$	21.8377			0.925292			0.462646	−	0.886543i	$-0.346900\pi$
$557$	21.8377			0.925292			0.462646	+	0.886543i	$0.346900\pi$
$558$	20.6061	+	3.13602i	0.872325	+	0.132758i
$559$	6.53180	−	6.53180i	0.276266	−	0.276266i
$560$	17.6657	+	30.5979i	0.746513	+	1.29300i
$561$	9.75942	−	4.69129i	0.412043	−	0.198067i
$562$	37.0731	−	9.93370i	1.56383	−	0.419028i
$563$	1.26936	−	0.340125i	0.0534973	−	0.0143345i	−0.231971	−	0.972723i	$-0.574517\pi$
$563$	1.26936	−	0.340125i	0.0534973	−	0.0143345i	0.285468	+	0.958388i	$0.407851\pi$
$564$	−2.73603	+	2.35114i	−0.115208	+	0.0990009i
$565$	−1.37686	+	5.13853i	−0.0579251	+	0.216180i
$566$	2.34061	+	2.34061i	0.0983832	+	0.0983832i
$567$	−6.77630	−	30.0855i	−0.284578	−	1.26347i
$568$	−7.18505	−	7.18505i	−0.301478	−	0.301478i
$569$	3.55717	−	13.2755i	0.149124	−	0.556540i	−0.850413	−	0.526116i	$-0.823648\pi$
$569$	3.55717	−	13.2755i	0.149124	−	0.556540i	0.999537	−	0.0304237i	$-0.00968566\pi$
$570$	−18.8519	−	1.42631i	−0.789617	−	0.0597417i
$571$	1.96191	−	3.39812i	0.0821032	−	0.142207i	−0.822050	−	0.569415i	$-0.807170\pi$
$571$	1.96191	−	3.39812i	0.0821032	−	0.142207i	0.904153	+	0.427208i	$0.140503\pi$
$572$	−0.250252	−	0.933954i	−0.0104636	−	0.0390506i
$573$	4.11256	+	1.44235i	0.171804	+	0.0602550i
$574$	22.5446	+	39.0484i	0.940993	+	1.62985i
$575$			0.576380i			0.0240367i
$576$	−2.99902	+	19.7059i	−0.124959	+	0.821078i
$577$	−11.4873	+	11.4873i	−0.478224	+	0.478224i	−0.904563	−	0.426340i	$-0.859803\pi$
$577$	−11.4873	+	11.4873i	−0.478224	+	0.478224i	0.426340	+	0.904563i	$0.359803\pi$
$578$	−9.25369	+	34.5352i	−0.384903	+	1.43648i
$579$	−12.1671	+	2.29313i	−0.505647	+	0.0952990i
$580$	1.31262	+	3.09670i	0.0545036	+	0.128584i
$581$	4.40438	+	2.54287i	0.182724	+	0.105496i
$582$	−31.7721	−	21.6951i	−1.31699	−	0.899293i
$583$	−1.45051	+	5.41339i	−0.0600741	+	0.224200i
$584$	35.8936			1.48529
$585$	−23.5159	+	9.19051i	−0.972263	+	0.379981i
$586$		−	23.3794i		−	0.965794i
$587$	27.9575	−	16.1413i	1.15393	−	0.666222i	0.204089	−	0.978952i	$-0.434577\pi$
$587$	27.9575	−	16.1413i	1.15393	−	0.666222i	0.949842	+	0.312730i	$0.101244\pi$
$588$	2.00320	−	0.962926i	0.0826106	−	0.0397104i
$589$	12.5336	+	7.23629i	0.516439	+	0.298166i
$590$	30.6589	−	8.21502i	1.26221	−	0.338207i
$591$	−3.05161	+	40.3338i	−0.125527	+	1.65911i
$592$	18.9638	+	5.08132i	0.779405	+	0.208841i
$593$	8.81748			0.362090			0.181045	−	0.983475i	$-0.442052\pi$
$593$	8.81748			0.362090			0.181045	+	0.983475i	$0.442052\pi$
$594$	5.61160	+	5.22926i	0.230247	+	0.214559i
$595$	35.6838	−	35.6838i	1.46289	−	1.46289i
$596$	0.406920	−	0.234935i	0.0166681	−	0.00962332i
$597$	−20.4184	−	1.54484i	−0.835669	−	0.0632259i
$598$	−2.51778	−	9.39650i	−0.102960	−	0.384251i
$599$	7.24767	+	27.0487i	0.296132	+	1.10518i	0.940315	+	0.340307i	$0.110531\pi$
$599$	7.24767	+	27.0487i	0.296132	+	1.10518i	−0.644183	+	0.764871i	$0.722802\pi$
$600$	−0.486374	+	1.38680i	−0.0198562	+	0.0566157i
$601$	1.99094	−	7.43028i	0.0812120	−	0.303087i	−0.913358	−	0.407158i	$-0.866520\pi$
$601$	1.99094	−	7.43028i	0.0812120	−	0.303087i	0.994570	+	0.104070i	$0.0331867\pi$
$602$	−13.0786			−0.533043
$603$	−27.1691	−	21.7303i	−1.10641	−	0.884926i
$604$	4.74870			0.193222
$605$	−20.0661	+	11.5852i	−0.815802	+	0.471004i
$606$	29.1916	+	19.9331i	1.18583	+	0.809726i
$607$	6.41790	+	23.9519i	0.260494	+	0.972178i	0.964951	+	0.262431i	$0.0845242\pi$
$607$	6.41790	+	23.9519i	0.260494	+	0.972178i	−0.704456	+	0.709747i	$0.748809\pi$
$608$	2.38698	−	4.13438i	0.0968050	−	0.167671i
$609$	−30.2837	+	10.2176i	−1.22716	+	0.414040i
$610$	13.2856	+	23.0114i	0.537920	+	0.931705i
$611$	−19.8450	+	19.8450i	−0.802842	+	0.802842i
$612$	−5.14980	+	0.572782i	−0.208168	+	0.0231534i
$613$		−	4.60604i		−	0.186036i	−0.995664	−	0.0930181i	$-0.970349\pi$
$613$		−	4.60604i		−	0.186036i	0.995664	−	0.0930181i	$-0.0296515\pi$
$614$	21.9747	+	38.0613i	0.886828	+	1.53603i
$615$	−11.5518	+	32.9376i	−0.465814	+	1.32817i
$616$	4.37373	−	7.57552i	0.176223	−	0.305226i
$617$	33.9675	−	9.10157i	1.36748	−	0.366416i	0.500923	−	0.865492i	$-0.332994\pi$
$617$	33.9675	−	9.10157i	1.36748	−	0.366416i	0.866558	+	0.499076i	$0.166327\pi$
$618$	−4.27805	+	3.67624i	−0.172088	+	0.147880i
$619$	−0.922089	−	0.247073i	−0.0370619	−	0.00993070i	0.240240	−	0.970713i	$-0.422774\pi$
$619$	−0.922089	−	0.247073i	−0.0370619	−	0.00993070i	−0.277302	+	0.960783i	$0.589440\pi$
$620$	−2.03628	+	2.03628i	−0.0817790	+	0.0817790i
$621$	6.72939	+	6.27089i	0.270041	+	0.251642i
$622$		−	23.2060i		−	0.930474i
$623$	19.7712	+	5.29769i	0.792118	+	0.212247i
$624$	2.12922	−	28.1423i	0.0852371	−	1.12660i
$625$	13.2610	−	22.9687i	0.530440	−	0.918748i
$626$	−10.9419	−	40.8358i	−0.437327	−	1.63213i
$627$	2.30741	+	4.80017i	0.0921491	+	0.191700i
$628$	0.964315	−	3.59887i	0.0384804	−	0.143611i
$629$		−	28.0418i		−	1.11810i
$630$	32.7439	+	14.3418i	1.30455	+	0.571392i
$631$		−	4.87983i		−	0.194263i	−0.995272	−	0.0971315i	$-0.969033\pi$
$631$		−	4.87983i		−	0.194263i	0.995272	−	0.0971315i	$-0.0309667\pi$
$632$	−12.3539	+	7.13254i	−0.491412	+	0.283717i
$633$	−2.02966	−	10.7692i	−0.0806719	−	0.428037i
$634$	9.22976	−	15.9864i	0.366560	−	0.634901i
$635$	47.7814	−	12.8030i	1.89615	−	0.508071i
$636$	1.51227	−	2.21469i	0.0599656	−	0.0878183i
$637$	14.9748	−	8.64570i	0.593323	−	0.342555i
$638$	4.78731	−	6.34627i	0.189531	−	0.251251i
$639$	−11.5647	−	1.76003i	−0.457493	−	0.0696255i
$640$	−21.3014	−	21.3014i	−0.842010	−	0.842010i
$641$	5.90023	+	1.58096i	0.233045	+	0.0624442i	0.373451	−	0.927650i	$-0.378174\pi$
$641$	5.90023	+	1.58096i	0.233045	+	0.0624442i	−0.140406	+	0.990094i	$0.544841\pi$
$642$	10.1420	−	28.9179i	0.400274	−	1.14130i
$643$	−30.1525	−	17.4086i	−1.18910	−	0.686526i	−0.230997	−	0.972955i	$-0.574199\pi$
$643$	−30.1525	−	17.4086i	−1.18910	−	0.686526i	−0.958102	+	0.286428i	$0.907532\pi$
$644$	−0.820829	+	1.42172i	−0.0323452	+	0.0560235i
$645$	−6.59855	−	7.67875i	−0.259818	−	0.302351i
$646$	−29.1564	−	7.81244i	−1.14714	−	0.307376i
$647$	22.6415			0.890129			0.445065	−	0.895498i	$-0.353181\pi$
$647$	22.6415			0.890129			0.445065	+	0.895498i	$0.353181\pi$
$648$	10.8996	+	20.7666i	0.428175	+	0.815788i
$649$	−6.32269	−	6.32269i	−0.248187	−	0.248187i
$650$	0.463101	−	1.72832i	0.0181643	−	0.0677902i
$651$	−17.8349	−	20.7545i	−0.699004	−	0.813434i
$652$	4.29405	−	1.15059i	0.168168	−	0.0450604i
$653$	−26.7594	+	7.17016i	−1.04718	+	0.280590i	−0.741084	−	0.671412i	$-0.765688\pi$
$653$	−26.7594	+	7.17016i	−1.04718	+	0.280590i	−0.306092	+	0.952002i	$0.599021\pi$
$654$	10.7266	−	30.5845i	0.419441	−	1.19595i
$655$	−13.3918	+	49.9789i	−0.523261	+	1.95284i
$656$	−27.5892	−	27.5892i	−1.07718	−	1.07718i
$657$	33.2825	−	24.4901i	1.29847	−	0.955450i
$658$	39.7354			1.54905
$659$	−45.4870	−	12.1882i	−1.77192	−	0.474785i	−0.782849	−	0.622212i	$-0.786234\pi$
$659$	−45.4870	−	12.1882i	−1.77192	−	0.474785i	−0.989073	+	0.147427i	$0.952901\pi$
$660$	−1.04142	+	0.196275i	−0.0405371	+	0.00764001i
$661$	10.4366	−	18.0767i	0.405937	−	0.703103i	−0.588493	−	0.808502i	$-0.700279\pi$
$661$	10.4366	−	18.0767i	0.405937	−	0.703103i	0.994430	+	0.105399i	$0.0336119\pi$
$662$	33.3343	+	19.2456i	1.29558	+	0.748001i
$663$	−39.6137	+	7.46596i	−1.53847	+	0.289954i
$664$	−3.73591	−	1.00104i	−0.144982	−	0.0388477i
$665$	17.5511	+	17.5511i	0.680601	+	0.680601i
$666$	18.5009	−	7.23055i	0.716896	−	0.280178i
$667$	5.74089	−	7.61040i	0.222288	−	0.294676i
$668$	0.419247	−	0.242053i	0.0162212	−	0.00936529i
$669$	−1.38071	−	2.87233i	−0.0533814	−	0.111051i
$670$	38.9529	−	10.4374i	1.50488	−	0.403232i
$671$	3.74271	−	6.48257i	0.144486	−	0.250257i
$672$	−6.84615	+	5.88307i	−0.264096	+	0.226944i
$673$	31.4119	−	18.1357i	1.21084	−	0.699079i	0.247898	−	0.968786i	$-0.420260\pi$
$673$	31.4119	−	18.1357i	1.21084	−	0.699079i	0.962942	+	0.269707i	$0.0869270\pi$
$674$		−	48.2588i		−	1.85886i
$675$	0.495215	+	1.61776i	0.0190608	+	0.0622678i
$676$			0.0811331i			0.00312050i
$677$	12.2060	−	45.5535i	0.469115	−	1.75076i	−0.173756	−	0.984789i	$-0.555591\pi$
$677$	12.2060	−	45.5535i	0.469115	−	1.75076i	0.642872	−	0.765974i	$-0.277743\pi$
$678$	−5.99938	−	0.453907i	−0.230405	−	0.0174322i
$679$	13.0729	+	48.7889i	0.501693	+	1.87235i
$680$	−19.1891	+	33.2365i	−0.735869	+	1.27456i
$681$	−13.6900	+	6.58071i	−0.524603	+	0.252173i
$682$	6.57434	+	1.76159i	0.251745	+	0.0674548i
$683$			30.2941i			1.15917i	0.814911	+	0.579585i	$0.196786\pi$
$683$			30.2941i			1.15917i	−0.814911	+	0.579585i	$0.803214\pi$
$684$	−0.281723	−	2.53293i	−0.0107719	−	0.0968488i
$685$	−38.0177	+	38.0177i	−1.45258	+	1.45258i
$686$	11.2646	+	3.01834i	0.430084	+	0.115241i
$687$	8.16384	+	43.3166i	0.311470	+	1.65263i
$688$	10.9317	−	2.92913i	0.416766	−	0.111672i
$689$	10.4317	−	18.0682i	0.397416	−	0.688344i
$690$	−10.4777	+	1.97472i	−0.398879	+	0.0751764i
$691$	−8.52230	−	14.7611i	−0.324204	−	0.561537i	0.657147	−	0.753762i	$-0.271763\pi$
$691$	−8.52230	−	14.7611i	−0.324204	−	0.561537i	−0.981351	+	0.192225i	$0.938430\pi$
$692$			0.688161i			0.0261600i
$693$	−1.11320	−	10.0086i	−0.0422871	−	0.380196i
$694$	16.7299	−	16.7299i	0.635060	−	0.635060i
$695$	−8.32921	−	14.4266i	−0.315945	−	0.547233i
$696$	20.2348	−	13.4665i	0.766999	−	0.510447i
$697$	−27.8644	+	48.2625i	−1.05544	+	1.82807i
$698$	5.62302	+	20.9854i	0.212834	+	0.794309i
$699$	0.575757	−	7.60989i	0.0217771	−	0.287832i
$700$	−0.261499	+	0.150977i	−0.00988375	+	0.00570639i
$701$	9.26597			0.349971			0.174986	−	0.984571i	$-0.444012\pi$
$701$	9.26597			0.349971			0.174986	+	0.984571i	$0.444012\pi$
$702$	−15.1401	−	24.2106i	−0.571427	−	0.913768i
$703$	13.7923			0.520188
$704$	−1.68463	+	6.28714i	−0.0634920	+	0.236955i
$705$	20.0478	+	23.3297i	0.755043	+	0.878646i
$706$	−2.36062	−	8.80995i	−0.0888431	−	0.331567i
$707$	−12.0112	−	44.8263i	−0.451726	−	1.68587i
$708$	1.85370	+	3.85630i	0.0696662	+	0.144929i
$709$	−2.72384	+	1.57261i	−0.102296	+	0.0590606i	−0.550275	−	0.834983i	$-0.685477\pi$
$709$	−2.72384	+	1.57261i	−0.102296	+	0.0590606i	0.447979	+	0.894044i	$0.352144\pi$
$710$	9.58803	−	9.58803i	0.359832	−	0.359832i
$711$	−6.58871	+	15.0427i	−0.247096	+	0.564146i
$712$	−15.5664			−0.583376
$713$	7.88390	+	2.11248i	0.295254	+	0.0791131i
$714$	47.1336	+	32.1846i	1.76393	+	1.20448i
$715$	−7.96366	+	2.13386i	−0.297824	+	0.0798017i
$716$	0.498197	+	0.287634i	0.0186185	+	0.0107494i
$717$	−17.2033	−	11.7471i	−0.642471	−	0.438703i
$718$	−19.6774	+	11.3608i	−0.734355	+	0.423980i
$719$		−	47.8983i		−	1.78631i	−0.449753	−	0.893153i	$-0.648488\pi$
$719$		−	47.8983i		−	1.78631i	0.449753	−	0.893153i	$-0.351512\pi$
$720$	−30.5809	−	4.65408i	−1.13968	−	0.173447i
$721$	7.40544			0.275793
$722$	−3.56756	+	13.3143i	−0.132771	+	0.495507i
$723$	−21.4392	+	10.3057i	−0.797332	+	0.383273i
$724$	−1.52728	−	0.881777i	−0.0567610	−	0.0327710i
$725$	1.61436	−	0.684291i	0.0599560	−	0.0254139i
$726$	−17.0789	−	19.8748i	−0.633858	−	0.737623i
$727$	−8.27648	+	30.8883i	−0.306958	+	1.14558i	0.624289	+	0.781193i	$0.285389\pi$
$727$	−8.27648	+	30.8883i	−0.306958	+	1.14558i	−0.931247	+	0.364389i	$0.881278\pi$
$728$	−23.0264	+	23.0264i	−0.853416	+	0.853416i
$729$	24.2757	+	11.8192i	0.899098	+	0.437747i
$730$			47.8979i			1.77278i
$731$	−8.08234	−	13.9990i	−0.298936	−	0.517773i
$732$	−2.71664	+	2.33447i	−0.100410	+	0.0862847i
$733$	−0.468531	−	1.74858i	−0.0173056	−	0.0645854i	0.956733	−	0.290967i	$-0.0939770\pi$
$733$	−0.468531	−	1.74858i	−0.0173056	−	0.0645854i	−0.974039	+	0.226382i	$0.927310\pi$
$734$	−16.0318	+	27.7679i	−0.591744	+	1.02493i
$735$	−8.21070	−	17.0810i	−0.302856	−	0.630040i
$736$	0.696830	−	2.60061i	0.0256855	−	0.0958596i
$737$	−8.03313	−	8.03313i	−0.295904	−	0.295904i
$738$	−39.0266	−	5.93944i	−1.43659	−	0.218634i
$739$	−19.0901	−	19.0901i	−0.702240	−	0.702240i	0.262651	−	0.964891i	$-0.415403\pi$
$739$	−19.0901	−	19.0901i	−0.702240	−	0.702240i	−0.964891	+	0.262651i	$0.915403\pi$
$740$	−0.710298	+	2.65087i	−0.0261111	+	0.0974479i
$741$	−3.67213	−	19.4840i	−0.134899	−	0.715762i
$742$	−28.5326	+	7.64528i	−1.04746	+	0.280667i
$743$	−27.4067	+	7.34361i	−1.00545	+	0.269411i	−0.723729	−	0.690084i	$-0.757573\pi$
$743$	−27.4067	+	7.34361i	−1.00545	+	0.269411i	−0.281726	+	0.959495i	$0.590907\pi$
$744$	17.1864	+	11.7355i	0.630084	+	0.430245i
$745$	−2.00325	−	3.46973i	−0.0733934	−	0.127121i
$746$	−2.49370	+	2.49370i	−0.0913008	+	0.0913008i
$747$	−4.14715	+	1.62079i	−0.151736	+	0.0593017i
$748$	−1.69200			−0.0618658
$749$	−34.8427	+	20.1165i	−1.27313	+	0.735040i
$750$	26.5677	+	9.31779i	0.970117	+	0.340238i
$751$	3.71835	+	13.8771i	0.135685	+	0.506382i	0.999994	+	0.00342162i	$0.00108914\pi$
$751$	3.71835	+	13.8771i	0.135685	+	0.506382i	−0.864310	+	0.502960i	$0.832244\pi$
$752$	−33.2127	+	8.89932i	−1.21114	+	0.324525i
$753$	−1.09972	+	0.945018i	−0.0400760	+	0.0344384i
$754$	−23.3292	+	18.2077i	−0.849599	+	0.663086i
$755$		−	40.4914i		−	1.47363i
$756$	−1.08236	+	4.69567i	−0.0393652	+	0.170780i
$757$	2.14430	+	2.14430i	0.0779359	+	0.0779359i	0.745000	−	0.667064i	$-0.232449\pi$
$757$	2.14430	+	2.14430i	0.0779359	+	0.0779359i	−0.667064	+	0.745000i	$0.732449\pi$
$758$	17.7962	+	30.8239i	0.646388	+	1.11958i
$759$	1.95761	+	2.27808i	0.0710568	+	0.0826891i
$760$	−16.3474	−	9.43816i	−0.592982	−	0.342358i
$761$	−27.5341	−	15.8968i	−0.998111	−	0.576260i	−0.0904223	−	0.995904i	$-0.528822\pi$
$761$	−27.5341	−	15.8968i	−0.998111	−	0.576260i	−0.907689	+	0.419644i	$0.862155\pi$
$762$	24.2378	+	50.4226i	0.878044	+	1.82662i
$763$	−36.8509	+	21.2759i	−1.33409	+	0.770238i
$764$	−0.481530	−	0.481530i	−0.0174211	−	0.0174211i
$765$	4.88402	+	43.9114i	0.176582	+	1.58762i
$766$	−9.55164	+	9.55164i	−0.345115	+	0.345115i
$767$	16.6436	+	28.8275i	0.600964	+	1.04090i
$768$	6.23330	−	9.12854i	0.224925	−	0.329398i
$769$	3.17584	+	11.8524i	0.114524	+	0.427409i	0.999251	−	0.0387008i	$-0.0123219\pi$
$769$	3.17584	+	11.8524i	0.114524	+	0.427409i	−0.884727	+	0.466110i	$0.845655\pi$
$770$	10.1091	+	5.83649i	0.364306	+	0.210332i
$771$	−12.3793	−	8.45306i	−0.445830	−	0.304429i
$772$	1.86873	+	0.500725i	0.0672571	+	0.0180215i
$773$	−21.0505	+	21.0505i	−0.757134	+	0.757134i	−0.975800	−	0.218665i	$-0.929830\pi$
$773$	−21.0505	+	21.0505i	−0.757134	+	0.757134i	0.218665	+	0.975800i	$0.429830\pi$
$774$	7.15202	−	8.94207i	0.257074	−	0.321416i
$775$	1.06155	+	1.06155i	0.0381319	+	0.0381319i
$776$	−19.2064	−	33.2665i	−0.689470	−	1.19420i
$777$	−24.6090	−	8.63082i	−0.882843	−	0.309629i
$778$	4.85174	−	8.40346i	0.173943	−	0.301278i
$779$	−23.7379	−	13.7051i	−0.850499	−	0.491036i
$780$	3.93391	+	0.297636i	0.140857	+	0.0106571i
$781$	−3.68971	−	0.988655i	−0.132028	−	0.0353769i
$782$	−17.0232			−0.608749
$783$	9.57465	−	26.2931i	0.342170	−	0.939638i
$784$	21.1848			0.756601
$785$	−30.6870	−	8.22255i	−1.09526	−	0.293475i
$786$	−58.3518	−	4.41484i	−2.08134	−	0.157472i
$787$	42.0497	+	24.2774i	1.49891	+	0.865396i	0.999999	−	0.00125841i	$-0.000400565\pi$
$787$	42.0497	+	24.2774i	1.49891	+	0.865396i	0.498910	+	0.866654i	$0.333734\pi$
$788$	3.16020	−	5.47362i	0.112577	−	0.194990i
$789$	−18.3701	−	6.44275i	−0.653995	−	0.229368i
$790$	−9.51796	−	16.4856i	−0.338634	−	0.586531i
$791$	5.58542	+	5.58542i	0.198595	+	0.198595i
$792$	2.78776	+	7.13308i	0.0990586	+	0.253463i
$793$	−19.7043	+	19.7043i	−0.699720	+	0.699720i
$794$	48.1880	+	12.9119i	1.71013	+	0.458228i
$795$	−18.8843	−	12.8949i	−0.669757	−	0.457335i
$796$	2.77094	+	1.59981i	0.0982135	+	0.0567036i
$797$	−3.35424	−	12.5182i	−0.118813	−	0.443418i	0.880730	−	0.473618i	$-0.157052\pi$
$797$	−3.35424	−	12.5182i	−0.118813	−	0.443418i	−0.999544	+	0.0302002i	$0.990386\pi$
$798$	−15.8300	+	23.1826i	−0.560375	+	0.820657i
$799$	24.5559	+	42.5320i	0.868724	+	1.50467i
$800$	0.350166	−	0.350166i	0.0123802	−	0.0123802i
$801$	−14.4340	+	10.6209i	−0.510001	+	0.375272i
$802$	3.65510	+	3.65510i	0.129066	+	0.129066i
$803$	11.6856	−	6.74668i	0.412376	−	0.238085i
$804$	2.35517	+	4.89952i	0.0830604	+	0.172793i
$805$	12.1227	+	6.99906i	0.427270	+	0.246685i
$806$	−21.9431	−	12.6689i	−0.772914	−	0.446242i
$807$	6.96008	+	8.09948i	0.245007	+	0.285115i
$808$	17.6465	+	30.5646i	0.620801	+	1.07526i
$809$	−31.2753	−	31.2753i	−1.09958	−	1.09958i	−0.994459	−	0.105121i	$-0.966477\pi$
$809$	−31.2753	−	31.2753i	−1.09958	−	1.09958i	−0.105121	−	0.994459i	$-0.533523\pi$
$810$	−27.7118	+	14.5448i	−0.973693	+	0.511053i
$811$			52.5371i			1.84483i	0.386202	+	0.922414i	$0.373787\pi$
$811$			52.5371i			1.84483i	−0.386202	+	0.922414i	$0.626213\pi$
$812$	4.95655	+	0.611139i	0.173941	+	0.0214468i
$813$	35.8529	−	30.8093i	1.25742	−	1.08053i
$814$	6.26534	−	1.67879i	0.219600	−	0.0588416i
$815$	−9.81085	−	36.6146i	−0.343659	−	1.28255i
$816$	−46.6046	−	16.3451i	−1.63149	−	0.572192i
$817$	6.88542	−	3.97530i	0.240890	−	0.139078i
$818$	12.9127			0.451483
$819$	−5.64047	+	37.0622i	−0.197094	+	1.29506i
$820$	3.85659	−	3.85659i	0.134678	−	0.134678i
$821$	10.2315	+	17.7215i	0.357082	+	0.618485i	0.987472	−	0.157794i	$-0.0504382\pi$
$821$	10.2315	+	17.7215i	0.357082	+	0.618485i	−0.630390	+	0.776279i	$0.717105\pi$
$822$	−50.2163	−	34.2896i	−1.75150	−	1.19599i
$823$	−13.3538	+	3.57813i	−0.465483	+	0.124726i	−0.483935	−	0.875104i	$-0.660793\pi$
$823$	−13.3538	+	3.57813i	−0.465483	+	0.124726i	0.0184521	+	0.999830i	$0.494126\pi$
$824$	−5.43993	+	1.45763i	−0.189509	+	0.0507788i
$825$	0.102322	+	0.542909i	0.00356238	+	0.0189017i
$826$	12.1979	−	45.5232i	0.424419	−	1.58395i
$827$	2.40919	+	2.40919i	0.0837756	+	0.0837756i	0.747753	−	0.663977i	$-0.231133\pi$
$827$	2.40919	+	2.40919i	0.0837756	+	0.0837756i	−0.663977	+	0.747753i	$0.731133\pi$
$828$	−0.523185	−	1.33868i	−0.0181820	−	0.0465225i
$829$	23.4435	+	23.4435i	0.814225	+	0.814225i	0.985264	−	0.171039i	$-0.0547125\pi$
$829$	23.4435	+	23.4435i	0.814225	+	0.814225i	−0.171039	+	0.985264i	$0.554713\pi$
$830$	1.33582	−	4.98536i	0.0463671	−	0.173044i
$831$	6.25461	+	13.0116i	0.216970	+	0.451368i
$832$	12.1154	−	20.9845i	0.420027	−	0.727508i
$833$	−7.83152	−	29.2276i	−0.271346	−	1.01268i
$834$	14.2891	−	12.2790i	0.494791	−	0.425186i
$835$	−2.06394	−	3.57485i	−0.0714256	−	0.123713i
$836$		−	0.832211i		−	0.0287826i
$837$	23.9433	−	0.844443i	0.827601	−	0.0291882i
$838$	−0.588763	+	0.588763i	−0.0203385	+	0.0203385i
$839$	−4.30071	+	16.0505i	−0.148477	+	0.554124i	0.851099	+	0.525006i	$0.175937\pi$
$839$	−4.30071	+	16.0505i	−0.148477	+	0.554124i	−0.999576	+	0.0291187i	$0.990730\pi$
$840$	23.2617	+	27.0698i	0.802606	+	0.933995i
$841$	−28.1314	−	7.04426i	−0.970050	−	0.242906i
$842$	−26.7717	−	15.4567i	−0.922614	−	0.532672i
$843$	39.7613	−	19.1130i	1.36945	−	0.658286i
$844$	−0.443195	+	1.65403i	−0.0152554	+	0.0569340i
$845$	0.691808			0.0237989
$846$	−21.7293	+	27.1679i	−0.747070	+	0.934052i
$847$			34.4039i			1.18213i
$848$	22.1366	−	12.7805i	0.760173	−	0.438886i
$849$	3.14213	+	2.14556i	0.107838	+	0.0736354i
$850$	−2.71163	−	1.56556i	−0.0930080	−	0.0536982i
$851$	7.51334	−	2.01319i	0.257554	−	0.0690114i
$852$	1.50951	+	1.03075i	0.0517151	+	0.0353130i
$853$	−20.2571	−	5.42787i	−0.693589	−	0.185847i	−0.105232	−	0.994448i	$-0.533558\pi$
$853$	−20.2571	−	5.42787i	−0.693589	−	0.185847i	−0.588357	+	0.808601i	$0.700225\pi$
$854$	39.4538			1.35008
$855$	−21.5978	+	2.40220i	−0.738630	+	0.0821536i
$856$	21.6354	−	21.6354i	0.739484	−	0.739484i
$857$	37.5900	−	21.7026i	1.28405	−	0.741346i	0.306463	−	0.951882i	$-0.400854\pi$
$857$	37.5900	−	21.7026i	1.28405	−	0.741346i	0.977586	+	0.210536i	$0.0675209\pi$
$858$	−4.03969	−	8.40387i	−0.137913	−	0.286903i
$859$	2.11206	+	7.88230i	0.0720624	+	0.268941i	0.992551	−	0.121828i	$-0.0388758\pi$
$859$	2.11206	+	7.88230i	0.0720624	+	0.268941i	−0.920489	+	0.390769i	$0.872209\pi$
$860$	0.409452	+	1.52810i	0.0139622	+	0.0521076i
$861$	33.7782	+	39.3078i	1.15116	+	1.33961i
$862$	−2.91885	+	10.8933i	−0.0994164	+	0.371027i
$863$	8.84629			0.301131			0.150566	−	0.988600i	$-0.451890\pi$
$863$	8.84629			0.301131			0.150566	+	0.988600i	$0.451890\pi$
$864$	−0.278551	−	7.89800i	−0.00947648	−	0.268695i
$865$	5.86783			0.199512
$866$	−29.7588	+	17.1813i	−1.01125	+	0.583843i
$867$	−3.10046	+	40.9794i	−0.105297	+	1.39173i
$868$	1.10669	+	4.13021i	0.0375634	+	0.140189i
$869$	−2.68131	+	4.64417i	−0.0909573	+	0.157543i
$870$	17.9703	+	27.0022i	0.609250	+	0.915460i
$871$	21.1461	+	36.6260i	0.716507	+	1.24103i
$872$	22.8824	−	22.8824i	0.774895	−	0.774895i
$873$	−40.5069	−	17.7420i	−1.37095	−	0.600475i
$874$		−	8.37287i		−	0.283216i
$875$	−18.4816	−	32.0111i	−0.624793	−	1.08217i
$876$	−6.34506	+	1.19585i	−0.214380	+	0.0404040i
$877$	17.1713	−	29.7416i	0.579834	−	1.00430i	−0.415664	−	0.909518i	$-0.636451\pi$
$877$	17.1713	−	29.7416i	0.579834	−	1.00430i	0.995498	−	0.0947835i	$-0.0302159\pi$
$878$	−1.72044	+	0.460989i	−0.0580619	+	0.0155576i
$879$	−4.97715	−	26.4083i	−0.167875	−	0.890729i
$880$	−9.75680	−	2.61433i	−0.328902	−	0.0881290i
$881$	−10.6186	+	10.6186i	−0.357750	+	0.357750i	−0.862983	−	0.505233i	$-0.831406\pi$
$881$	−10.6186	+	10.6186i	−0.357750	+	0.357750i	0.505233	+	0.862983i	$0.331406\pi$
$882$	17.2640	−	12.7033i	0.581308	−	0.427741i
$883$		−	32.4616i		−	1.09242i	−0.837648	−	0.546211i	$-0.816070\pi$
$883$		−	32.4616i		−	1.09242i	0.837648	−	0.546211i	$-0.183930\pi$
$884$	6.08421	+	1.63026i	0.204634	+	0.0548316i
$885$	32.8820	−	15.8062i	1.10532	−	0.531318i
$886$	−10.2652	+	17.7798i	−0.344864	+	0.597323i
$887$	6.72883	+	25.1123i	0.225932	+	0.843190i	0.982029	+	0.188730i	$0.0604371\pi$
$887$	6.72883	+	25.1123i	0.225932	+	0.843190i	−0.756097	+	0.654460i	$0.772896\pi$
$888$	19.7762	+	1.49625i	0.663647	+	0.0502109i
$889$	19.0102	−	70.9472i	0.637583	−	2.37949i
$890$		−	20.7725i		−	0.696295i
$891$	7.45185	+	4.71210i	0.249646	+	0.157861i
$892$			0.497979i			0.0166736i
$893$	−20.9194	+	12.0778i	−0.700039	+	0.404168i
$894$	3.43666	−	2.95321i	0.114939	−	0.0987700i
$895$	2.45261	−	4.24804i	0.0819817	−	0.141996i
$896$	−43.2058	+	11.5770i	−1.44341	+	0.386759i
$897$	−4.84436	−	10.0778i	−0.161748	−	0.336489i
$898$	28.1460	−	16.2501i	0.939245	−	0.542274i
$899$	−3.44315	−	24.5898i	−0.114836	−	0.820114i
$900$	0.0397753	−	0.261354i	0.00132584	−	0.00871180i
$901$	−25.8160	−	25.8160i	−0.860056	−	0.860056i
$902$	−12.4514	−	3.33635i	−0.414587	−	0.111088i
$903$	−14.7729	+	2.78425i	−0.491613	+	0.0926540i
$904$	−5.20236	−	3.00359i	−0.173028	−	0.0998978i
$905$	−7.51875	+	13.0229i	−0.249932	+	0.432895i
$906$	45.0022	−	8.48154i	1.49510	−	0.281780i
$907$	33.3545	+	8.93732i	1.10752	+	0.296759i	0.765823	−	0.643052i	$-0.222332\pi$
$907$	33.3545	+	8.93732i	1.10752	+	0.296759i	0.341696	+	0.939810i	$0.388999\pi$
$908$	2.37346			0.0787659
$909$	37.2169	+	16.3010i	1.23441	+	0.540670i
$910$	−30.7274	−	30.7274i	−1.01860	−	1.01860i
$911$	−0.845139	+	3.15410i	−0.0280007	+	0.104500i	−0.978512	−	0.206190i	$-0.933893\pi$
$911$	−0.845139	+	3.15410i	−0.0280007	+	0.104500i	0.950511	+	0.310690i	$0.100560\pi$
$912$	8.03932	−	22.9225i	0.266209	−	0.759038i
$913$	−1.40443	+	0.376316i	−0.0464799	+	0.0124542i
$914$	40.4085	−	10.8274i	1.33660	−	0.358140i
$915$	19.9057	+	23.1643i	0.658061	+	0.765788i
$916$	1.78265	−	6.65294i	0.0589004	−	0.219819i
$917$	54.3255	+	54.3255i	1.79399	+	1.79399i
$918$	−47.7802	+	14.6260i	−1.57698	+	0.482731i
$919$	3.18622			0.105104			0.0525519	−	0.998618i	$-0.483265\pi$
$919$	3.18622			0.105104			0.0525519	+	0.998618i	$0.483265\pi$
$920$	−10.2828	−	2.75528i	−0.339015	−	0.0908388i
$921$	32.9244	+	38.3142i	1.08489	+	1.26250i
$922$	−19.9282	+	34.5166i	−0.656299	+	1.13674i
$923$	12.3151	+	7.11014i	0.405357	+	0.234033i
$924$	−0.520773	+	1.48487i	−0.0171322	+	0.0488488i
$925$	1.38194	+	0.370291i	0.0454380	+	0.0121751i
$926$	−24.3923	−	24.3923i	−0.801580	−	0.801580i
$927$	−4.04967	+	5.06325i	−0.133009	+	0.166299i
$928$	−8.11125	+	1.13577i	−0.266265	+	0.0372835i
$929$	−15.0484	+	8.68817i	−0.493721	+	0.285050i	−0.726117	−	0.687572i	$-0.758677\pi$
$929$	−15.0484	+	8.68817i	−0.493721	+	0.285050i	0.232396	+	0.972621i	$0.425343\pi$
$930$	−15.6603	+	22.9342i	−0.513523	+	0.752044i
$931$	14.3756	−	3.85193i	0.471141	−	0.126242i
$932$	−0.596244	+	1.03272i	−0.0195306	+	0.0338280i
$933$	−4.94023	−	26.2124i	−0.161736	−	0.858155i
$934$	15.5608	−	8.98403i	0.509165	−	0.293966i
$935$			14.4274i			0.471827i
$936$	−3.15161	−	28.3356i	−0.103014	−	0.926179i
$937$			14.2919i			0.466897i	0.972369	+	0.233448i	$0.0750010\pi$
$937$			14.2919i			0.466897i	−0.972369	+	0.233448i	$0.924999\pi$
$938$	15.4977	−	57.8383i	0.506019	−	1.88849i
$939$	−21.0528	−	43.7968i	−0.687034	−	1.42925i
$940$	−1.24400	−	4.64268i	−0.0405748	−	0.151427i
$941$	−11.6261	+	20.1370i	−0.378999	+	0.656446i	−0.990917	−	0.134475i	$-0.957065\pi$
$941$	−11.6261	+	20.1370i	−0.378999	+	0.656446i	0.611918	+	0.790922i	$0.290398\pi$
$942$	2.71071	−	35.8279i	0.0883196	−	1.16734i
$943$	−14.9316	−	4.00092i	−0.486241	−	0.130288i
$944$			40.7822i			1.32735i
$945$	40.0392	+	9.22912i	1.30247	+	0.300223i
$946$	2.64392	−	2.64392i	0.0859611	−	0.0859611i
$947$	40.3682	+	10.8166i	1.31179	+	0.351493i	0.845896	−	0.533348i	$-0.179066\pi$
$947$	40.3682	+	10.8166i	1.31179	+	0.351493i	0.465894	+	0.884841i	$0.345733\pi$
$948$	1.94622	−	1.67244i	0.0632104	−	0.0543183i
$949$	−48.5203	+	13.0010i	−1.57504	+	0.422030i
$950$	0.770020	−	1.33371i	0.0249827	−	0.0432714i
$951$	7.02222	−	20.0224i	0.227711	−	0.649270i
$952$	28.4925	+	49.3505i	0.923448	+	1.59946i
$953$		−	21.6490i		−	0.701279i	−0.936511	−	0.350640i	$-0.885964\pi$
$953$		−	21.6490i		−	0.701279i	0.936511	−	0.350640i	$-0.114036\pi$
$954$	10.3758	−	23.6891i	0.335930	−	0.766963i
$955$	−4.10592	+	4.10592i	−0.132865	+	0.132865i
$956$	1.62752	+	2.81894i	0.0526377	+	0.0911711i
$957$	4.05648	−	8.18761i	0.131127	−	0.264668i
$958$	−19.6878	+	34.1003i	−0.636084	+	1.10173i
$959$	20.6620	+	77.1117i	0.667211	+	2.49007i
$960$	−21.9323	−	14.9762i	−0.707864	−	0.483355i
$961$	−8.43594	+	4.87049i	−0.272127	+	0.157113i
$962$	−24.1468			−0.778525
$963$	5.29974	−	34.8234i	0.170782	−	1.12217i
$964$	3.71694			0.119715
$965$	4.26959	−	15.9343i	0.137443	−	0.512944i
$966$	−5.23949	+	14.9393i	−0.168578	+	0.480664i
$967$	2.75616	+	10.2861i	0.0886323	+	0.330780i	0.995977	−	0.0896068i	$-0.0285610\pi$
$967$	2.75616	+	10.2861i	0.0886323	+	0.330780i	−0.907345	+	0.420387i	$0.861894\pi$
$968$	−6.77178	−	25.2726i	−0.217653	−	0.812293i
$969$	−34.5969	−	2.61757i	−1.11141	−	0.0840884i
$970$	44.3921	−	25.6298i	1.42535	−	0.822924i
$971$	3.39160	−	3.39160i	0.108842	−	0.108842i	−0.650589	−	0.759430i	$-0.725478\pi$
$971$	3.39160	−	3.39160i	0.108842	−	0.108842i	0.759430	+	0.650589i	$0.225478\pi$
$972$	−2.61863	−	3.30786i	−0.0839926	−	0.106100i
$973$	−24.7349			−0.792964
$974$	−35.9359	−	9.62901i	−1.15146	−	0.308533i
$975$	0.155163	−	2.05082i	0.00496918	−	0.0656786i
$976$	−32.9773	+	8.83623i	−1.05558	+	0.282841i
$977$	−17.6662	−	10.1996i	−0.565193	−	0.326314i	0.190034	−	0.981777i	$-0.439140\pi$
$977$	−17.6662	−	10.1996i	−0.565193	−	0.326314i	−0.755227	+	0.655463i	$0.772473\pi$
$978$	38.6385	−	18.5733i	1.23552	−	0.593908i
$979$	−5.06784	+	2.92592i	−0.161969	+	0.0935128i
$980$			2.96134i			0.0945967i
$981$	5.60519	−	36.8304i	0.178960	−	1.17590i
$982$	48.5789			1.55022
$983$	0.910132	−	3.39666i	0.0290287	−	0.108337i	−0.949891	−	0.312580i	$-0.898807\pi$
$983$	0.910132	−	3.39666i	0.0290287	−	0.108337i	0.978920	+	0.204243i	$0.0654734\pi$
$984$	−32.5500	−	22.2263i	−1.03766	−	0.708550i
$985$	−46.6726	−	26.9465i	−1.48711	−	0.858586i
$986$	20.2104	+	47.6798i	0.643629	+	1.51843i
$987$	44.8833	−	8.45913i	1.42865	−	0.269257i
$988$	−0.801843	+	2.99252i	−0.0255100	+	0.0952047i
$989$	3.17056	−	3.17056i	0.100818	−	0.100818i
$990$	−9.51868	+	3.72010i	−0.302523	+	0.118233i
$991$			7.89205i			0.250699i	0.992113	+	0.125350i	$0.0400052\pi$
$991$			7.89205i			0.250699i	−0.992113	+	0.125350i	$0.959995\pi$
$992$	−3.50628	−	6.07306i	−0.111325	−	0.192820i
$993$	41.7500	+	14.6425i	1.32490	+	0.464666i
$994$	−5.21095	−	19.4475i	−0.165281	−	0.616838i
$995$	13.6413	−	23.6274i	0.432457	−	0.749038i
$996$	0.693764	+	0.0524895i	0.0219828	+	0.00166319i
$997$	−2.10421	+	7.85304i	−0.0666412	+	0.248708i	−0.991208	−	0.132311i	$-0.957760\pi$
$997$	−2.10421	+	7.85304i	−0.0666412	+	0.248708i	0.924567	+	0.381019i	$0.124427\pi$
$998$	−6.44172	−	6.44172i	−0.203909	−	0.203909i
$999$	19.3585	−	12.1059i	0.612476	−	0.383013i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	261.2.l.a.41.8	✓	112
3.2	odd	2		783.2.m.a.476.21		112
9.2	odd	6	inner	261.2.l.a.128.8	yes	112
9.7	even	3		783.2.m.a.737.21		112
29.17	odd	4	inner	261.2.l.a.104.8	yes	112
87.17	even	4		783.2.m.a.17.21		112
261.133	odd	12		783.2.m.a.278.21		112
261.191	even	12	inner	261.2.l.a.191.8	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
261.2.l.a.41.8	✓	112	1.1	even	1	trivial
261.2.l.a.104.8	yes	112	29.17	odd	4	inner
261.2.l.a.128.8	yes	112	9.2	odd	6	inner
261.2.l.a.191.8	yes	112	261.191	even	12	inner
783.2.m.a.17.21		112	87.17	even	4
783.2.m.a.278.21		112	261.133	odd	12
783.2.m.a.476.21		112	3.2	odd	2
783.2.m.a.737.21		112	9.7	even	3

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 261 = 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	261.l (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.45552 - 0.390005i) q^{2} +(-1.72711 - 0.130672i) q^{3} +(0.234384 + 0.135322i) q^{4} +(1.15386 - 1.99855i) q^{5} +(2.46289 + 0.863780i) q^{6} +(-1.71329 - 2.96750i) q^{7} +(1.84266 + 1.84266i) q^{8} +(2.96585 + 0.451370i) q^{9} +O(q^{10})\)	\(q+(-1.45552 - 0.390005i) q^{2} +(-1.72711 - 0.130672i) q^{3} +(0.234384 + 0.135322i) q^{4} +(1.15386 - 1.99855i) q^{5} +(2.46289 + 0.863780i) q^{6} +(-1.71329 - 2.96750i) q^{7} +(1.84266 + 1.84266i) q^{8} +(2.96585 + 0.451370i) q^{9} +(-2.45892 + 2.45892i) q^{10} +(0.946251 + 0.253547i) q^{11} +(-0.387125 - 0.264343i) q^{12} +(-3.15830 - 1.82344i) q^{13} +(1.33638 + 4.98745i) q^{14} +(-2.25401 + 3.30095i) q^{15} +(-2.23402 - 3.86943i) q^{16} +(-4.51260 + 4.51260i) q^{17} +(-4.14082 - 1.81368i) q^{18} +(-2.21952 - 2.21952i) q^{19} +(0.540893 - 0.312285i) q^{20} +(2.57127 + 5.34909i) q^{21} +(-1.27840 - 0.738086i) q^{22} +(-1.53305 - 0.885107i) q^{23} +(-2.94169 - 3.42326i) q^{24} +(-0.162800 - 0.281977i) q^{25} +(3.88581 + 3.88581i) q^{26} +(-5.06338 - 1.16712i) q^{27} -0.927379i q^{28} +(-0.658996 + 5.34469i) q^{29} +(4.56814 - 3.92552i) q^{30} +(-4.45364 + 1.19335i) q^{31} +(0.393642 + 1.46909i) q^{32} +(-1.60115 - 0.561553i) q^{33} +(8.32812 - 4.80824i) q^{34} -7.90760 q^{35} +(0.634067 + 0.507137i) q^{36} +(-3.10705 + 3.10705i) q^{37} +(2.36493 + 4.09618i) q^{38} +(5.21647 + 3.56200i) q^{39} +(5.80881 - 1.55647i) q^{40} +(8.43493 - 2.26013i) q^{41} +(-1.65637 - 8.78852i) q^{42} +(-0.655574 + 2.44664i) q^{43} +(0.187475 + 0.187475i) q^{44} +(4.32427 - 5.40658i) q^{45} +(1.88619 + 1.88619i) q^{46} +(1.99177 - 7.43340i) q^{47} +(3.35278 + 6.97488i) q^{48} +(-2.37071 + 4.10619i) q^{49} +(0.126985 + 0.473916i) q^{50} +(8.38344 - 7.20410i) q^{51} +(-0.493502 - 0.854771i) q^{52} +5.72088i q^{53} +(6.91467 + 3.67352i) q^{54} +(1.59857 - 1.59857i) q^{55} +(2.31108 - 8.62508i) q^{56} +(3.54334 + 4.12340i) q^{57} +(3.04364 - 7.52229i) q^{58} +(-7.90468 - 4.56377i) q^{59} +(-0.974992 + 0.468672i) q^{60} +(1.97765 - 7.38070i) q^{61} +6.94778 q^{62} +(-3.74191 - 9.57449i) q^{63} +6.64426i q^{64} +(-7.28848 + 4.20801i) q^{65} +(2.11150 + 1.44181i) q^{66} +(-10.0431 - 5.79839i) q^{67} +(-1.66833 + 0.447028i) q^{68} +(2.53209 + 1.72901i) q^{69} +(11.5097 + 3.08401i) q^{70} -3.89929 q^{71} +(4.63332 + 6.29676i) q^{72} +(9.73964 - 9.73964i) q^{73} +(5.73414 - 3.31061i) q^{74} +(0.244327 + 0.508280i) q^{75} +(-0.219871 - 0.820568i) q^{76} +(-0.868799 - 3.24240i) q^{77} +(-6.20347 - 7.21901i) q^{78} +(-1.41681 + 5.28760i) q^{79} -10.3110 q^{80} +(8.59253 + 2.67739i) q^{81} -13.1587 q^{82} +(-1.28536 + 0.742103i) q^{83} +(-0.121182 + 1.60169i) q^{84} +(3.81173 + 14.2256i) q^{85} +(1.90840 - 3.30545i) q^{86} +(1.83656 - 9.14478i) q^{87} +(1.27641 + 2.21081i) q^{88} +(-4.22391 + 4.22391i) q^{89} +(-8.40266 + 6.18289i) q^{90} +12.4963i q^{91} +(-0.239548 - 0.414909i) q^{92} +(7.84789 - 1.47909i) q^{93} +(-5.79813 + 10.0427i) q^{94} +(-6.99684 + 1.87480i) q^{95} +(-0.487896 - 2.58873i) q^{96} +(-14.2384 - 3.81516i) q^{97} +(5.05205 - 5.05205i) q^{98} +(2.69199 + 1.17909i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7}+O(q^{10}) \) 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7	\( 112 q - 6 q^{2} - 4 q^{3} - 4 q^{7} + 6 q^{11} - 18 q^{12} - 18 q^{14} - 8 q^{15} + 40 q^{16} + 22 q^{18} - 8 q^{19} - 12 q^{20} + 24 q^{21} - 12 q^{23} - 96 q^{24} - 44 q^{25} + 20 q^{27} - 42 q^{29} + 28 q^{30} - 2 q^{31} - 66 q^{32} + 12 q^{36} - 8 q^{37} - 12 q^{39} - 12 q^{40} - 18 q^{41} - 2 q^{43} - 52 q^{45} + 8 q^{46} - 36 q^{49} + 24 q^{50} - 36 q^{52} + 8 q^{54} + 36 q^{55} + 84 q^{56} + 28 q^{58} + 48 q^{59} - 36 q^{60} - 14 q^{61} + 24 q^{65} + 18 q^{66} - 102 q^{68} + 36 q^{69} - 8 q^{73} + 144 q^{74} + 18 q^{75} + 14 q^{76} - 72 q^{77} + 12 q^{78} - 2 q^{79} - 56 q^{81} + 80 q^{82} - 120 q^{83} - 14 q^{84} - 48 q^{85} - 76 q^{87} - 36 q^{88} + 160 q^{90} - 40 q^{94} + 204 q^{95} + 22 q^{97} - 54 q^{99}+O(q^{100}) \) 112 * q - 6 * q^2 - 4 * q^3 - 4 * q^7 + 6 * q^11 - 18 * q^12 - 18 * q^14 - 8 * q^15 + 40 * q^16 + 22 * q^18 - 8 * q^19 - 12 * q^20 + 24 * q^21 - 12 * q^23 - 96 * q^24 - 44 * q^25 + 20 * q^27 - 42 * q^29 + 28 * q^30 - 2 * q^31 - 66 * q^32 + 12 * q^36 - 8 * q^37 - 12 * q^39 - 12 * q^40 - 18 * q^41 - 2 * q^43 - 52 * q^45 + 8 * q^46 - 36 * q^49 + 24 * q^50 - 36 * q^52 + 8 * q^54 + 36 * q^55 + 84 * q^56 + 28 * q^58 + 48 * q^59 - 36 * q^60 - 14 * q^61 + 24 * q^65 + 18 * q^66 - 102 * q^68 + 36 * q^69 - 8 * q^73 + 144 * q^74 + 18 * q^75 + 14 * q^76 - 72 * q^77 + 12 * q^78 - 2 * q^79 - 56 * q^81 + 80 * q^82 - 120 * q^83 - 14 * q^84 - 48 * q^85 - 76 * q^87 - 36 * q^88 + 160 * q^90 - 40 * q^94 + 204 * q^95 + 22 * q^97 - 54 * q^99

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